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Simplifying (2x + -6)(2x + 10) = 0 Reorder the terms: (-6 + 2x)(2x + 10) = 0 Reorder the terms: (-6 + 2x)(10 + 2x) = 0 Multiply (-6 + 2x) * (10 + 2x) (-6(10 + 2x) + 2x * (10 + 2x)) = 0 ((10 * -6 + 2x * -6) + 2x * (10 + 2x)) = 0 ((-60 + -12x) + 2x * (10 + 2x)) = 0 (-60 + -12x + (10 * 2x + 2x * 2x)) = 0 (-60 + -12x + (20x + 4x2)) = 0 Combine like terms: -12x + 20x = 8x (-60 + 8x + 4x2) = 0 Solving -60 + 8x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + 2x + x2) = 0 Factor a trinomial. 4((-5 + -1x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 = -5Subproblem 2
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 = 3Solution
x = {-5, 3}
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