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Simplifying -2(x + 7)(x + -6) = 0 Reorder the terms: -2(7 + x)(x + -6) = 0 Reorder the terms: -2(7 + x)(-6 + x) = 0 Multiply (7 + x) * (-6 + x) -2(7(-6 + x) + x(-6 + x)) = 0 -2((-6 * 7 + x * 7) + x(-6 + x)) = 0 -2((-42 + 7x) + x(-6 + x)) = 0 -2(-42 + 7x + (-6 * x + x * x)) = 0 -2(-42 + 7x + (-6x + x2)) = 0 Combine like terms: 7x + -6x = 1x -2(-42 + 1x + x2) = 0 (-42 * -2 + 1x * -2 + x2 * -2) = 0 (84 + -2x + -2x2) = 0 Solving 84 + -2x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(42 + -1x + -1x2) = 0 Factor a trinomial. 2((6 + -1x)(7 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {6, -7}
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