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Simplifying -14x + 8 = x2 + 16x + 64 Reorder the terms: 8 + -14x = x2 + 16x + 64 Reorder the terms: 8 + -14x = 64 + 16x + x2 Solving 8 + -14x = 64 + 16x + x2 Solving for variable 'x'. Reorder the terms: 8 + -64 + -14x + -16x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Combine like terms: 8 + -64 = -56 -56 + -14x + -16x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Combine like terms: -14x + -16x = -30x -56 + -30x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Reorder the terms: -56 + -30x + -1x2 = 64 + -64 + 16x + -16x + x2 + -1x2 Combine like terms: 64 + -64 = 0 -56 + -30x + -1x2 = 0 + 16x + -16x + x2 + -1x2 -56 + -30x + -1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 -56 + -30x + -1x2 = 0 + x2 + -1x2 -56 + -30x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -56 + -30x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(56 + 30x + x2) = 0 Factor a trinomial. -1((28 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(28 + x)' equal to zero and attempt to solve: Simplifying 28 + x = 0 Solving 28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + x = 0 + -28 x = 0 + -28 Combine like terms: 0 + -28 = -28 x = -28 Simplifying x = -28Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-28, -2}
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