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Simplifying -2(x + -3)(x + 5) = 0 Reorder the terms: -2(-3 + x)(x + 5) = 0 Reorder the terms: -2(-3 + x)(5 + x) = 0 Multiply (-3 + x) * (5 + x) -2(-3(5 + x) + x(5 + x)) = 0 -2((5 * -3 + x * -3) + x(5 + x)) = 0 -2((-15 + -3x) + x(5 + x)) = 0 -2(-15 + -3x + (5 * x + x * x)) = 0 -2(-15 + -3x + (5x + x2)) = 0 Combine like terms: -3x + 5x = 2x -2(-15 + 2x + x2) = 0 (-15 * -2 + 2x * -2 + x2 * -2) = 0 (30 + -4x + -2x2) = 0 Solving 30 + -4x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -2x + -1x2) = 0 Factor a trinomial. 2((3 + -1x)(5 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {3, -5}
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