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Simplifying (3x + -4)(x) = 160 Reorder the terms: (-4 + 3x)(x) = 160 Reorder the terms for easier multiplication: x(-4 + 3x) = 160 (-4 * x + 3x * x) = 160 (-4x + 3x2) = 160 Solving -4x + 3x2 = 160 Solving for variable 'x'. Reorder the terms: -160 + -4x + 3x2 = 160 + -160 Combine like terms: 160 + -160 = 0 -160 + -4x + 3x2 = 0 Factor a trinomial. (-20 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-6.666666667, 8}
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