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Simplifying 4x(8x + -3) = 135 Reorder the terms: 4x(-3 + 8x) = 135 (-3 * 4x + 8x * 4x) = 135 (-12x + 32x2) = 135 Solving -12x + 32x2 = 135 Solving for variable 'x'. Reorder the terms: -135 + -12x + 32x2 = 135 + -135 Combine like terms: 135 + -135 = 0 -135 + -12x + 32x2 = 0 Factor a trinomial. (-15 + -8x)(9 + -4x) = 0Subproblem 1
Set the factor '(-15 + -8x)' equal to zero and attempt to solve: Simplifying -15 + -8x = 0 Solving -15 + -8x = 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 + -8x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 0 + 15 -8x = 0 + 15 Combine like terms: 0 + 15 = 15 -8x = 15 Divide each side by '-8'. x = -1.875 Simplifying x = -1.875Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-1.875, 2.25}
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