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Simplifying 8(2x2 + -3x + 18) = 135 Reorder the terms: 8(18 + -3x + 2x2) = 135 (18 * 8 + -3x * 8 + 2x2 * 8) = 135 (144 + -24x + 16x2) = 135 Solving 144 + -24x + 16x2 = 135 Solving for variable 'x'. Reorder the terms: 144 + -135 + -24x + 16x2 = 135 + -135 Combine like terms: 144 + -135 = 9 9 + -24x + 16x2 = 135 + -135 Combine like terms: 135 + -135 = 0 9 + -24x + 16x2 = 0 Factor a trinomial. (3 + -4x)(3 + -4x) = 0Subproblem 1
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 = 0.75Subproblem 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 = {0.75, 0.75}
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