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Simplifying 4log(x2 + 2x + -14) = 7log(x2 + 2x + -14) Reorder the terms: 4glo(-14 + 2x + x2) = 7log(x2 + 2x + -14) (-14 * 4glo + 2x * 4glo + x2 * 4glo) = 7log(x2 + 2x + -14) (-56glo + 8glox + 4glox2) = 7log(x2 + 2x + -14) Reorder the terms: -56glo + 8glox + 4glox2 = 7glo(-14 + 2x + x2) -56glo + 8glox + 4glox2 = (-14 * 7glo + 2x * 7glo + x2 * 7glo) -56glo + 8glox + 4glox2 = (-98glo + 14glox + 7glox2) Solving -56glo + 8glox + 4glox2 = -98glo + 14glox + 7glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '98glo' to each side of the equation. -56glo + 8glox + 98glo + 4glox2 = -98glo + 14glox + 98glo + 7glox2 Reorder the terms: -56glo + 98glo + 8glox + 4glox2 = -98glo + 14glox + 98glo + 7glox2 Combine like terms: -56glo + 98glo = 42glo 42glo + 8glox + 4glox2 = -98glo + 14glox + 98glo + 7glox2 Reorder the terms: 42glo + 8glox + 4glox2 = -98glo + 98glo + 14glox + 7glox2 Combine like terms: -98glo + 98glo = 0 42glo + 8glox + 4glox2 = 0 + 14glox + 7glox2 42glo + 8glox + 4glox2 = 14glox + 7glox2 Add '-14glox' to each side of the equation. 42glo + 8glox + -14glox + 4glox2 = 14glox + -14glox + 7glox2 Combine like terms: 8glox + -14glox = -6glox 42glo + -6glox + 4glox2 = 14glox + -14glox + 7glox2 Combine like terms: 14glox + -14glox = 0 42glo + -6glox + 4glox2 = 0 + 7glox2 42glo + -6glox + 4glox2 = 7glox2 Add '-7glox2' to each side of the equation. 42glo + -6glox + 4glox2 + -7glox2 = 7glox2 + -7glox2 Combine like terms: 4glox2 + -7glox2 = -3glox2 42glo + -6glox + -3glox2 = 7glox2 + -7glox2 Combine like terms: 7glox2 + -7glox2 = 0 42glo + -6glox + -3glox2 = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(14 + -2x + -1x2) = 0 Ignore the factor 3.Subproblem 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 '(14 + -2x + -1x2)' equal to zero and attempt to solve: Simplifying 14 + -2x + -1x2 = 0 Solving 14 + -2x + -1x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -2x + -14 + -1x2 = 0 + -14 Reorder the terms: 14 + -14 + -2x + -1x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x + -1x2 = 0 + -14 -2x + -1x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -2x + -1x2 = -14 Add '2x' to each side of the equation. -2x + 2x + -1x2 = -14 + 2x Combine like terms: -2x + 2x = 0 0 + -1x2 = -14 + 2x -1x2 = -14 + 2x Add 'x2' to each side of the equation. -1x2 + x2 = -14 + 2x + x2 Combine like terms: -1x2 + x2 = 0 0 = -14 + 2x + x2 Simplifying 0 = -14 + 2x + x2 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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