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Simplifying 5(x + -5)(x + 2) = 0 Reorder the terms: 5(-5 + x)(x + 2) = 0 Reorder the terms: 5(-5 + x)(2 + x) = 0 Multiply (-5 + x) * (2 + x) 5(-5(2 + x) + x(2 + x)) = 0 5((2 * -5 + x * -5) + x(2 + x)) = 0 5((-10 + -5x) + x(2 + x)) = 0 5(-10 + -5x + (2 * x + x * x)) = 0 5(-10 + -5x + (2x + x2)) = 0 Combine like terms: -5x + 2x = -3x 5(-10 + -3x + x2) = 0 (-10 * 5 + -3x * 5 + x2 * 5) = 0 (-50 + -15x + 5x2) = 0 Solving -50 + -15x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-10 + -3x + x2) = 0 Factor a trinomial. 5((-2 + -1x)(5 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-2, 5}
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