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Simplifying 27 = 32x2 + -12x Reorder the terms: 27 = -12x + 32x2 Solving 27 = -12x + 32x2 Solving for variable 'x'. Reorder the terms: 27 + 12x + -32x2 = -12x + 12x + 32x2 + -32x2 Combine like terms: -12x + 12x = 0 27 + 12x + -32x2 = 0 + 32x2 + -32x2 27 + 12x + -32x2 = 32x2 + -32x2 Combine like terms: 32x2 + -32x2 = 0 27 + 12x + -32x2 = 0 Factor a trinomial. (9 + -8x)(3 + 4x) = 0Subproblem 1
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 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 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Subproblem 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 = {1.125, -0.75}
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