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Simplifying 3x2 = 20 + -11x Solving 3x2 = 20 + -11x Solving for variable 'x'. Reorder the terms: -20 + 11x + 3x2 = 20 + -11x + -20 + 11x Reorder the terms: -20 + 11x + 3x2 = 20 + -20 + -11x + 11x Combine like terms: 20 + -20 = 0 -20 + 11x + 3x2 = 0 + -11x + 11x -20 + 11x + 3x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -20 + 11x + 3x2 = 0 Factor a trinomial. (-5 + -1x)(4 + -3x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-5, 1.333333333}
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