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Simplifying -39x = 4x2 + 27 Reorder the terms: -39x = 27 + 4x2 Solving -39x = 27 + 4x2 Solving for variable 'x'. Reorder the terms: -27 + -39x + -4x2 = 27 + 4x2 + -27 + -4x2 Reorder the terms: -27 + -39x + -4x2 = 27 + -27 + 4x2 + -4x2 Combine like terms: 27 + -27 = 0 -27 + -39x + -4x2 = 0 + 4x2 + -4x2 -27 + -39x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -27 + -39x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(27 + 39x + 4x2) = 0 Factor a trinomial. -1((9 + x)(3 + 4x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-9, -0.75}
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