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Simplifying (6 + 6x)(6 + 6x) = 0 Multiply (6 + 6x) * (6 + 6x) (6(6 + 6x) + 6x * (6 + 6x)) = 0 ((6 * 6 + 6x * 6) + 6x * (6 + 6x)) = 0 ((36 + 36x) + 6x * (6 + 6x)) = 0 (36 + 36x + (6 * 6x + 6x * 6x)) = 0 (36 + 36x + (36x + 36x2)) = 0 Combine like terms: 36x + 36x = 72x (36 + 72x + 36x2) = 0 Solving 36 + 72x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '36'. 36(1 + 2x + x2) = 0 Factor a trinomial. 36((1 + x)(1 + x)) = 0 Ignore the factor 36.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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