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Simplifying 704x + 512 = -242x2 Reorder the terms: 512 + 704x = -242x2 Solving 512 + 704x = -242x2 Solving for variable 'x'. Combine like terms: -242x2 + 242x2 = 0 512 + 704x + 242x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(256 + 352x + 121x2) = 0 Factor a trinomial. 2((16 + 11x)(16 + 11x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + 11x)' equal to zero and attempt to solve: Simplifying 16 + 11x = 0 Solving 16 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 11x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = 0 + -16 11x = 0 + -16 Combine like terms: 0 + -16 = -16 11x = -16 Divide each side by '11'. x = -1.454545455 Simplifying x = -1.454545455Subproblem 2
Set the factor '(16 + 11x)' equal to zero and attempt to solve: Simplifying 16 + 11x = 0 Solving 16 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 11x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = 0 + -16 11x = 0 + -16 Combine like terms: 0 + -16 = -16 11x = -16 Divide each side by '11'. x = -1.454545455 Simplifying x = -1.454545455Solution
x = {-1.454545455, -1.454545455}
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