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Simplifying 0 = 4x2 + 72x + -117 Reorder the terms: 0 = -117 + 72x + 4x2 Solving 0 = -117 + 72x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 117 = 117 117 + -72x + -4x2 = -117 + 72x + 4x2 + 117 + -72x + -4x2 Reorder the terms: 117 + -72x + -4x2 = -117 + 117 + 72x + -72x + 4x2 + -4x2 Combine like terms: -117 + 117 = 0 117 + -72x + -4x2 = 0 + 72x + -72x + 4x2 + -4x2 117 + -72x + -4x2 = 72x + -72x + 4x2 + -4x2 Combine like terms: 72x + -72x = 0 117 + -72x + -4x2 = 0 + 4x2 + -4x2 117 + -72x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 117 + -72x + -4x2 = 0 Factor a trinomial. (3 + -2x)(39 + 2x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(39 + 2x)' equal to zero and attempt to solve: Simplifying 39 + 2x = 0 Solving 39 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 2x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 2x = 0 + -39 2x = 0 + -39 Combine like terms: 0 + -39 = -39 2x = -39 Divide each side by '2'. x = -19.5 Simplifying x = -19.5Solution
x = {1.5, -19.5}
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