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Simplifying (x + -5)(x + 3) = -15 Reorder the terms: (-5 + x)(x + 3) = -15 Reorder the terms: (-5 + x)(3 + x) = -15 Multiply (-5 + x) * (3 + x) (-5(3 + x) + x(3 + x)) = -15 ((3 * -5 + x * -5) + x(3 + x)) = -15 ((-15 + -5x) + x(3 + x)) = -15 (-15 + -5x + (3 * x + x * x)) = -15 (-15 + -5x + (3x + x2)) = -15 Combine like terms: -5x + 3x = -2x (-15 + -2x + x2) = -15 Add '15' to each side of the equation. -15 + -2x + 15 + x2 = -15 + 15 Reorder the terms: -15 + 15 + -2x + x2 = -15 + 15 Combine like terms: -15 + 15 = 0 0 + -2x + x2 = -15 + 15 -2x + x2 = -15 + 15 Combine like terms: -15 + 15 = 0 -2x + x2 = 0 Solving -2x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + x) = 0Subproblem 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 '(-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 = {0, 2}
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