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Simplifying (7x + 7)(7x + 7) = 0 Reorder the terms: (7 + 7x)(7x + 7) = 0 Reorder the terms: (7 + 7x)(7 + 7x) = 0 Multiply (7 + 7x) * (7 + 7x) (7(7 + 7x) + 7x * (7 + 7x)) = 0 ((7 * 7 + 7x * 7) + 7x * (7 + 7x)) = 0 ((49 + 49x) + 7x * (7 + 7x)) = 0 (49 + 49x + (7 * 7x + 7x * 7x)) = 0 (49 + 49x + (49x + 49x2)) = 0 Combine like terms: 49x + 49x = 98x (49 + 98x + 49x2) = 0 Solving 49 + 98x + 49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '49'. 49(1 + 2x + x2) = 0 Factor a trinomial. 49((1 + x)(1 + x)) = 0 Ignore the factor 49.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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