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Simplifying 5(x + -2)(2x + 6) = 0 Reorder the terms: 5(-2 + x)(2x + 6) = 0 Reorder the terms: 5(-2 + x)(6 + 2x) = 0 Multiply (-2 + x) * (6 + 2x) 5(-2(6 + 2x) + x(6 + 2x)) = 0 5((6 * -2 + 2x * -2) + x(6 + 2x)) = 0 5((-12 + -4x) + x(6 + 2x)) = 0 5(-12 + -4x + (6 * x + 2x * x)) = 0 5(-12 + -4x + (6x + 2x2)) = 0 Combine like terms: -4x + 6x = 2x 5(-12 + 2x + 2x2) = 0 (-12 * 5 + 2x * 5 + 2x2 * 5) = 0 (-60 + 10x + 10x2) = 0 Solving -60 + 10x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(-6 + x + x2) = 0 Factor a trinomial. 10((-3 + -1x)(2 + -1x)) = 0 Ignore the factor 10.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 '(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 = 2Solution
x = {-3, 2}
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