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Simplifying x2 + -5 = (x + 5)(2x + -1) Reorder the terms: -5 + x2 = (x + 5)(2x + -1) Reorder the terms: -5 + x2 = (5 + x)(2x + -1) Reorder the terms: -5 + x2 = (5 + x)(-1 + 2x) Multiply (5 + x) * (-1 + 2x) -5 + x2 = (5(-1 + 2x) + x(-1 + 2x)) -5 + x2 = ((-1 * 5 + 2x * 5) + x(-1 + 2x)) -5 + x2 = ((-5 + 10x) + x(-1 + 2x)) -5 + x2 = (-5 + 10x + (-1 * x + 2x * x)) -5 + x2 = (-5 + 10x + (-1x + 2x2)) Combine like terms: 10x + -1x = 9x -5 + x2 = (-5 + 9x + 2x2) Add '5' to each side of the equation. -5 + 5 + x2 = -5 + 9x + 5 + 2x2 Combine like terms: -5 + 5 = 0 0 + x2 = -5 + 9x + 5 + 2x2 x2 = -5 + 9x + 5 + 2x2 Reorder the terms: x2 = -5 + 5 + 9x + 2x2 Combine like terms: -5 + 5 = 0 x2 = 0 + 9x + 2x2 x2 = 9x + 2x2 Solving x2 = 9x + 2x2 Solving for variable 'x'. Reorder the terms: -9x + x2 + -2x2 = 9x + 2x2 + -9x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -9x + -1x2 = 9x + 2x2 + -9x + -2x2 Reorder the terms: -9x + -1x2 = 9x + -9x + 2x2 + -2x2 Combine like terms: 9x + -9x = 0 -9x + -1x2 = 0 + 2x2 + -2x2 -9x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(9 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {0, -9}
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