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Simplifying -5x + -15 = x2 + 2x + -15 Reorder the terms: -15 + -5x = x2 + 2x + -15 Reorder the terms: -15 + -5x = -15 + 2x + x2 Add '15' to each side of the equation. -15 + 15 + -5x = -15 + 2x + 15 + x2 Combine like terms: -15 + 15 = 0 0 + -5x = -15 + 2x + 15 + x2 -5x = -15 + 2x + 15 + x2 Reorder the terms: -5x = -15 + 15 + 2x + x2 Combine like terms: -15 + 15 = 0 -5x = 0 + 2x + x2 -5x = 2x + x2 Solving -5x = 2x + x2 Solving for variable 'x'. Combine like terms: -5x + -2x = -7x -7x + -1x2 = 2x + x2 + -2x + -1x2 Reorder the terms: -7x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 -7x + -1x2 = 0 + x2 + -1x2 -7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(7 + 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0, -7}
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