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Simplifying 2x2 = 13x + -20 Reorder the terms: 2x2 = -20 + 13x Solving 2x2 = -20 + 13x Solving for variable 'x'. Reorder the terms: 20 + -13x + 2x2 = -20 + 13x + 20 + -13x Reorder the terms: 20 + -13x + 2x2 = -20 + 20 + 13x + -13x Combine like terms: -20 + 20 = 0 20 + -13x + 2x2 = 0 + 13x + -13x 20 + -13x + 2x2 = 13x + -13x Combine like terms: 13x + -13x = 0 20 + -13x + 2x2 = 0 Factor a trinomial. (5 + -2x)(4 + -1x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
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 = 4Solution
x = {2.5, 4}
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