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Simplifying x(3x + -2) = 56 Reorder the terms: x(-2 + 3x) = 56 (-2 * x + 3x * x) = 56 (-2x + 3x2) = 56 Solving -2x + 3x2 = 56 Solving for variable 'x'. Reorder the terms: -56 + -2x + 3x2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + -2x + 3x2 = 0 Factor a trinomial. (-4 + -1x)(14 + -3x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(14 + -3x)' equal to zero and attempt to solve: Simplifying 14 + -3x = 0 Solving 14 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 0 + -14 -3x = 0 + -14 Combine like terms: 0 + -14 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667Solution
x = {-4, 4.666666667}
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