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Simplifying 3X2 + -40X = -128 Reorder the terms: -40X + 3X2 = -128 Solving -40X + 3X2 = -128 Solving for variable 'X'. Reorder the terms: 128 + -40X + 3X2 = -128 + 128 Combine like terms: -128 + 128 = 0 128 + -40X + 3X2 = 0 Factor a trinomial. (16 + -3X)(8 + -1X) = 0Subproblem 1
Set the factor '(16 + -3X)' equal to zero and attempt to solve: Simplifying 16 + -3X = 0 Solving 16 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3X = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3X = 0 + -16 -3X = 0 + -16 Combine like terms: 0 + -16 = -16 -3X = -16 Divide each side by '-3'. X = 5.333333333 Simplifying X = 5.333333333Subproblem 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 = {5.333333333, 8}
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