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Simplifying (x + 7)(2x + -2) = 0 Reorder the terms: (7 + x)(2x + -2) = 0 Reorder the terms: (7 + x)(-2 + 2x) = 0 Multiply (7 + x) * (-2 + 2x) (7(-2 + 2x) + x(-2 + 2x)) = 0 ((-2 * 7 + 2x * 7) + x(-2 + 2x)) = 0 ((-14 + 14x) + x(-2 + 2x)) = 0 (-14 + 14x + (-2 * x + 2x * x)) = 0 (-14 + 14x + (-2x + 2x2)) = 0 Combine like terms: 14x + -2x = 12x (-14 + 12x + 2x2) = 0 Solving -14 + 12x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 6x + x2) = 0 Factor a trinomial. 2((-7 + -1x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-7, 1}
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