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Simplifying (x + 36)(x + 36) = 0 Reorder the terms: (36 + x)(x + 36) = 0 Reorder the terms: (36 + x)(36 + x) = 0 Multiply (36 + x) * (36 + x) (36(36 + x) + x(36 + x)) = 0 ((36 * 36 + x * 36) + x(36 + x)) = 0 ((1296 + 36x) + x(36 + x)) = 0 (1296 + 36x + (36 * x + x * x)) = 0 (1296 + 36x + (36x + x2)) = 0 Combine like terms: 36x + 36x = 72x (1296 + 72x + x2) = 0 Solving 1296 + 72x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (36 + x)(36 + x) = 0Subproblem 1
Set the factor '(36 + x)' equal to zero and attempt to solve: Simplifying 36 + x = 0 Solving 36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x = 0 + -36 x = 0 + -36 Combine like terms: 0 + -36 = -36 x = -36 Simplifying x = -36Subproblem 2
Set the factor '(36 + x)' equal to zero and attempt to solve: Simplifying 36 + x = 0 Solving 36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x = 0 + -36 x = 0 + -36 Combine like terms: 0 + -36 = -36 x = -36 Simplifying x = -36Solution
x = {-36, -36}
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