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Simplifying (X + 5) = (X + 5)(x + 8) + (x + 5)(2x + -3) Reorder the terms: (5 + X) = (X + 5)(x + 8) + (x + 5)(2x + -3) Remove parenthesis around (5 + X) 5 + X = (X + 5)(x + 8) + (x + 5)(2x + -3) Reorder the terms: 5 + X = (5 + X)(x + 8) + (x + 5)(2x + -3) Reorder the terms: 5 + X = (5 + X)(8 + x) + (x + 5)(2x + -3) Multiply (5 + X) * (8 + x) 5 + X = (5(8 + x) + X(8 + x)) + (x + 5)(2x + -3) 5 + X = ((8 * 5 + x * 5) + X(8 + x)) + (x + 5)(2x + -3) 5 + X = ((40 + 5x) + X(8 + x)) + (x + 5)(2x + -3) 5 + X = (40 + 5x + (8 * X + x * X)) + (x + 5)(2x + -3) 5 + X = (40 + 5x + (8X + xX)) + (x + 5)(2x + -3) Reorder the terms: 5 + X = (40 + 8X + 5x + xX) + (x + 5)(2x + -3) 5 + X = (40 + 8X + 5x + xX) + (x + 5)(2x + -3) Reorder the terms: 5 + X = 40 + 8X + 5x + xX + (5 + x)(2x + -3) Reorder the terms: 5 + X = 40 + 8X + 5x + xX + (5 + x)(-3 + 2x) Multiply (5 + x) * (-3 + 2x) 5 + X = 40 + 8X + 5x + xX + (5(-3 + 2x) + x(-3 + 2x)) 5 + X = 40 + 8X + 5x + xX + ((-3 * 5 + 2x * 5) + x(-3 + 2x)) 5 + X = 40 + 8X + 5x + xX + ((-15 + 10x) + x(-3 + 2x)) 5 + X = 40 + 8X + 5x + xX + (-15 + 10x + (-3 * x + 2x * x)) 5 + X = 40 + 8X + 5x + xX + (-15 + 10x + (-3x + 2x2)) Combine like terms: 10x + -3x = 7x 5 + X = 40 + 8X + 5x + xX + (-15 + 7x + 2x2) Reorder the terms: 5 + X = 40 + -15 + 8X + 5x + 7x + xX + 2x2 Combine like terms: 40 + -15 = 25 5 + X = 25 + 8X + 5x + 7x + xX + 2x2 Combine like terms: 5x + 7x = 12x 5 + X = 25 + 8X + 12x + xX + 2x2 Solving 5 + X = 25 + 8X + 12x + xX + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 5 + X + -8X = 25 + 8X + 12x + xX + -8X + 2x2 Combine like terms: X + -8X = -7X 5 + -7X = 25 + 8X + 12x + xX + -8X + 2x2 Reorder the terms: 5 + -7X = 25 + 8X + -8X + 12x + xX + 2x2 Combine like terms: 8X + -8X = 0 5 + -7X = 25 + 0 + 12x + xX + 2x2 5 + -7X = 25 + 12x + xX + 2x2 Add '-1xX' to each side of the equation. 5 + -7X + -1xX = 25 + 12x + xX + -1xX + 2x2 Combine like terms: xX + -1xX = 0 5 + -7X + -1xX = 25 + 12x + 0 + 2x2 5 + -7X + -1xX = 25 + 12x + 2x2 Add '-5' to each side of the equation. 5 + -7X + -5 + -1xX = 25 + 12x + -5 + 2x2 Reorder the terms: 5 + -5 + -7X + -1xX = 25 + 12x + -5 + 2x2 Combine like terms: 5 + -5 = 0 0 + -7X + -1xX = 25 + 12x + -5 + 2x2 -7X + -1xX = 25 + 12x + -5 + 2x2 Reorder the terms: -7X + -1xX = 25 + -5 + 12x + 2x2 Combine like terms: 25 + -5 = 20 -7X + -1xX = 20 + 12x + 2x2 Reorder the terms: -20 + -7X + -12x + -1xX + -2x2 = 20 + 12x + 2x2 + -20 + -12x + -2x2 Reorder the terms: -20 + -7X + -12x + -1xX + -2x2 = 20 + -20 + 12x + -12x + 2x2 + -2x2 Combine like terms: 20 + -20 = 0 -20 + -7X + -12x + -1xX + -2x2 = 0 + 12x + -12x + 2x2 + -2x2 -20 + -7X + -12x + -1xX + -2x2 = 12x + -12x + 2x2 + -2x2 Combine like terms: 12x + -12x = 0 -20 + -7X + -12x + -1xX + -2x2 = 0 + 2x2 + -2x2 -20 + -7X + -12x + -1xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -20 + -7X + -12x + -1xX + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 7X + 12x + xX + 2x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(20 + 7X + 12x + xX + 2x2)' equal to zero and attempt to solve: Simplifying 20 + 7X + 12x + xX + 2x2 = 0 Solving 20 + 7X + 12x + xX + 2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 7X + 12x + xX + -20 + 2x2 = 0 + -20 Reorder the terms: 20 + -20 + 7X + 12x + xX + 2x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7X + 12x + xX + 2x2 = 0 + -20 7X + 12x + xX + 2x2 = 0 + -20 Combine like terms: 0 + -20 = -20 7X + 12x + xX + 2x2 = -20 Add '-12x' to each side of the equation. 7X + 12x + xX + -12x + 2x2 = -20 + -12x Reorder the terms: 7X + 12x + -12x + xX + 2x2 = -20 + -12x Combine like terms: 12x + -12x = 0 7X + 0 + xX + 2x2 = -20 + -12x 7X + xX + 2x2 = -20 + -12x Add '-2x2' to each side of the equation. 7X + xX + 2x2 + -2x2 = -20 + -12x + -2x2 Combine like terms: 2x2 + -2x2 = 0 7X + xX + 0 = -20 + -12x + -2x2 7X + xX = -20 + -12x + -2x2 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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