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Simplifying (X2 + -6x + 14) * log(x + -3) = (4x2 + -4x + 1) * log(x2 + -6x + 9) Reorder the terms: (14 + X2 + -6x) * log(x + -3) = (4x2 + -4x + 1) * log(x2 + -6x + 9) Reorder the terms: (14 + X2 + -6x) * glo(-3 + x) = (4x2 + -4x + 1) * log(x2 + -6x + 9) Reorder the terms for easier multiplication: glo(14 + X2 + -6x)(-3 + x) = (4x2 + -4x + 1) * log(x2 + -6x + 9) Multiply (14 + X2 + -6x) * (-3 + x) glo(14(-3 + x) + X2(-3 + x) + -6x * (-3 + x)) = (4x2 + -4x + 1) * log(x2 + -6x + 9) glo((-3 * 14 + x * 14) + X2(-3 + x) + -6x * (-3 + x)) = (4x2 + -4x + 1) * log(x2 + -6x + 9) glo((-42 + 14x) + X2(-3 + x) + -6x * (-3 + x)) = (4x2 + -4x + 1) * log(x2 + -6x + 9) glo(-42 + 14x + (-3 * X2 + x * X2) + -6x * (-3 + x)) = (4x2 + -4x + 1) * log(x2 + -6x + 9) glo(-42 + 14x + (-3X2 + xX2) + -6x * (-3 + x)) = (4x2 + -4x + 1) * log(x2 + -6x + 9) glo(-42 + 14x + -3X2 + xX2 + (-3 * -6x + x * -6x)) = (4x2 + -4x + 1) * log(x2 + -6x + 9) glo(-42 + 14x + -3X2 + xX2 + (18x + -6x2)) = (4x2 + -4x + 1) * log(x2 + -6x + 9) Reorder the terms: glo(-42 + -3X2 + 14x + 18x + xX2 + -6x2) = (4x2 + -4x + 1) * log(x2 + -6x + 9) Combine like terms: 14x + 18x = 32x glo(-42 + -3X2 + 32x + xX2 + -6x2) = (4x2 + -4x + 1) * log(x2 + -6x + 9) (-42 * glo + -3X2 * glo + 32x * glo + xX2 * glo + -6x2 * glo) = (4x2 + -4x + 1) * log(x2 + -6x + 9) (-42glo + -3gloX2 + 32glox + gloxX2 + -6glox2) = (4x2 + -4x + 1) * log(x2 + -6x + 9) Reorder the terms: -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = (1 + -4x + 4x2) * log(x2 + -6x + 9) Reorder the terms: -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = (1 + -4x + 4x2) * glo(9 + -6x + x2) Reorder the terms for easier multiplication: -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(1 + -4x + 4x2)(9 + -6x + x2) Multiply (1 + -4x + 4x2) * (9 + -6x + x2) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(1(9 + -6x + x2) + -4x * (9 + -6x + x2) + 4x2 * (9 + -6x + x2)) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo((9 * 1 + -6x * 1 + x2 * 1) + -4x * (9 + -6x + x2) + 4x2 * (9 + -6x + x2)) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo((9 + -6x + 1x2) + -4x * (9 + -6x + x2) + 4x2 * (9 + -6x + x2)) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -6x + 1x2 + (9 * -4x + -6x * -4x + x2 * -4x) + 4x2 * (9 + -6x + x2)) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -6x + 1x2 + (-36x + 24x2 + -4x3) + 4x2 * (9 + -6x + x2)) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -6x + 1x2 + -36x + 24x2 + -4x3 + (9 * 4x2 + -6x * 4x2 + x2 * 4x2)) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -6x + 1x2 + -36x + 24x2 + -4x3 + (36x2 + -24x3 + 4x4)) Reorder the terms: -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -6x + -36x + 1x2 + 24x2 + 36x2 + -4x3 + -24x3 + 4x4) Combine like terms: -6x + -36x = -42x -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -42x + 1x2 + 24x2 + 36x2 + -4x3 + -24x3 + 4x4) Combine like terms: 1x2 + 24x2 = 25x2 -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -42x + 25x2 + 36x2 + -4x3 + -24x3 + 4x4) Combine like terms: 25x2 + 36x2 = 61x2 -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -42x + 61x2 + -4x3 + -24x3 + 4x4) Combine like terms: -4x3 + -24x3 = -28x3 -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = glo(9 + -42x + 61x2 + -28x3 + 4x4) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = (9 * glo + -42x * glo + 61x2 * glo + -28x3 * glo + 4x4 * glo) -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = (9glo + -42glox + 61glox2 + -28glox3 + 4glox4) Solving -42glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = 9glo + -42glox + 61glox2 + -28glox3 + 4glox4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glo' to each side of the equation. -42glo + -3gloX2 + 32glox + gloxX2 + -9glo + -6glox2 = 9glo + -42glox + 61glox2 + -28glox3 + -9glo + 4glox4 Reorder the terms: -42glo + -9glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = 9glo + -42glox + 61glox2 + -28glox3 + -9glo + 4glox4 Combine like terms: -42glo + -9glo = -51glo -51glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = 9glo + -42glox + 61glox2 + -28glox3 + -9glo + 4glox4 Reorder the terms: -51glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = 9glo + -9glo + -42glox + 61glox2 + -28glox3 + 4glox4 Combine like terms: 9glo + -9glo = 0 -51glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = 0 + -42glox + 61glox2 + -28glox3 + 4glox4 -51glo + -3gloX2 + 32glox + gloxX2 + -6glox2 = -42glox + 61glox2 + -28glox3 + 4glox4 Add '42glox' to each side of the equation. -51glo + -3gloX2 + 32glox + gloxX2 + 42glox + -6glox2 = -42glox + 61glox2 + -28glox3 + 42glox + 4glox4 Reorder the terms: -51glo + -3gloX2 + 32glox + 42glox + gloxX2 + -6glox2 = -42glox + 61glox2 + -28glox3 + 42glox + 4glox4 Combine like terms: 32glox + 42glox = 74glox -51glo + -3gloX2 + 74glox + gloxX2 + -6glox2 = -42glox + 61glox2 + -28glox3 + 42glox + 4glox4 Reorder the terms: -51glo + -3gloX2 + 74glox + gloxX2 + -6glox2 = -42glox + 42glox + 61glox2 + -28glox3 + 4glox4 Combine like terms: -42glox + 42glox = 0 -51glo + -3gloX2 + 74glox + gloxX2 + -6glox2 = 0 + 61glox2 + -28glox3 + 4glox4 -51glo + -3gloX2 + 74glox + gloxX2 + -6glox2 = 61glox2 + -28glox3 + 4glox4 Add '-61glox2' to each side of the equation. -51glo + -3gloX2 + 74glox + gloxX2 + -6glox2 + -61glox2 = 61glox2 + -28glox3 + -61glox2 + 4glox4 Combine like terms: -6glox2 + -61glox2 = -67glox2 -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 = 61glox2 + -28glox3 + -61glox2 + 4glox4 Reorder the terms: -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 = 61glox2 + -61glox2 + -28glox3 + 4glox4 Combine like terms: 61glox2 + -61glox2 = 0 -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 = 0 + -28glox3 + 4glox4 -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 = -28glox3 + 4glox4 Add '28glox3' to each side of the equation. -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 + 28glox3 = -28glox3 + 28glox3 + 4glox4 Combine like terms: -28glox3 + 28glox3 = 0 -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 + 28glox3 = 0 + 4glox4 -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 + 28glox3 = 4glox4 Add '-4glox4' to each side of the equation. -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 + 28glox3 + -4glox4 = 4glox4 + -4glox4 Combine like terms: 4glox4 + -4glox4 = 0 -51glo + -3gloX2 + 74glox + gloxX2 + -67glox2 + 28glox3 + -4glox4 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-51 + -3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-51 + -3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4)' equal to zero and attempt to solve: Simplifying -51 + -3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4 = 0 Solving -51 + -3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4 = 0 Move all terms containing g to the left, all other terms to the right. Add '51' to each side of the equation. -51 + -3X2 + 74x + xX2 + -67x2 + 28x3 + 51 + -4x4 = 0 + 51 Reorder the terms: -51 + 51 + -3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4 = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4 = 0 + 51 -3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4 = 0 + 51 Combine like terms: 0 + 51 = 51 -3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4 = 51 Add '3X2' to each side of the equation. -3X2 + 74x + xX2 + -67x2 + 28x3 + 3X2 + -4x4 = 51 + 3X2 Reorder the terms: -3X2 + 3X2 + 74x + xX2 + -67x2 + 28x3 + -4x4 = 51 + 3X2 Combine like terms: -3X2 + 3X2 = 0 0 + 74x + xX2 + -67x2 + 28x3 + -4x4 = 51 + 3X2 74x + xX2 + -67x2 + 28x3 + -4x4 = 51 + 3X2 Add '-74x' to each side of the equation. 74x + xX2 + -67x2 + 28x3 + -74x + -4x4 = 51 + 3X2 + -74x Reorder the terms: 74x + -74x + xX2 + -67x2 + 28x3 + -4x4 = 51 + 3X2 + -74x Combine like terms: 74x + -74x = 0 0 + xX2 + -67x2 + 28x3 + -4x4 = 51 + 3X2 + -74x xX2 + -67x2 + 28x3 + -4x4 = 51 + 3X2 + -74x Add '-1xX2' to each side of the equation. xX2 + -67x2 + 28x3 + -1xX2 + -4x4 = 51 + 3X2 + -74x + -1xX2 Reorder the terms: xX2 + -1xX2 + -67x2 + 28x3 + -4x4 = 51 + 3X2 + -74x + -1xX2 Combine like terms: xX2 + -1xX2 = 0 0 + -67x2 + 28x3 + -4x4 = 51 + 3X2 + -74x + -1xX2 -67x2 + 28x3 + -4x4 = 51 + 3X2 + -74x + -1xX2 Add '67x2' to each side of the equation. -67x2 + 28x3 + 67x2 + -4x4 = 51 + 3X2 + -74x + -1xX2 + 67x2 Reorder the terms: -67x2 + 67x2 + 28x3 + -4x4 = 51 + 3X2 + -74x + -1xX2 + 67x2 Combine like terms: -67x2 + 67x2 = 0 0 + 28x3 + -4x4 = 51 + 3X2 + -74x + -1xX2 + 67x2 28x3 + -4x4 = 51 + 3X2 + -74x + -1xX2 + 67x2 Add '-28x3' to each side of the equation. 28x3 + -28x3 + -4x4 = 51 + 3X2 + -74x + -1xX2 + 67x2 + -28x3 Combine like terms: 28x3 + -28x3 = 0 0 + -4x4 = 51 + 3X2 + -74x + -1xX2 + 67x2 + -28x3 -4x4 = 51 + 3X2 + -74x + -1xX2 + 67x2 + -28x3 Add '4x4' to each side of the equation. -4x4 + 4x4 = 51 + 3X2 + -74x + -1xX2 + 67x2 + -28x3 + 4x4 Combine like terms: -4x4 + 4x4 = 0 0 = 51 + 3X2 + -74x + -1xX2 + 67x2 + -28x3 + 4x4 Simplifying 0 = 51 + 3X2 + -74x + -1xX2 + 67x2 + -28x3 + 4x4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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