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Simplifying 0 = -4x2 + -12x + 135 Reorder the terms: 0 = 135 + -12x + -4x2 Solving 0 = 135 + -12x + -4x2 Solving for variable 'x'. Combine like terms: 0 + -135 = -135 -135 + 12x + 4x2 = 135 + -12x + -4x2 + -135 + 12x + 4x2 Reorder the terms: -135 + 12x + 4x2 = 135 + -135 + -12x + 12x + -4x2 + 4x2 Combine like terms: 135 + -135 = 0 -135 + 12x + 4x2 = 0 + -12x + 12x + -4x2 + 4x2 -135 + 12x + 4x2 = -12x + 12x + -4x2 + 4x2 Combine like terms: -12x + 12x = 0 -135 + 12x + 4x2 = 0 + -4x2 + 4x2 -135 + 12x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -135 + 12x + 4x2 = 0 Factor a trinomial. (-15 + -2x)(9 + -2x) = 0Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve: Simplifying -15 + -2x = 0 Solving -15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-7.5, 4.5}
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