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Simplifying x(3x + -4) = 20 Reorder the terms: x(-4 + 3x) = 20 (-4 * x + 3x * x) = 20 (-4x + 3x2) = 20 Solving -4x + 3x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + -4x + 3x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -4x + 3x2 = 0 Factor a trinomial. (-2 + -1x)(10 + -3x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {-2, 3.333333333}
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