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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 = 16x (14 + 16x + 2x2) = 0 Solving 14 + 16x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 8x + x2) = 0 Factor a trinomial. 2((7 + x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = -7Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-7, -1}
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