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Simplifying 13x2 + 84x = 160 Reorder the terms: 84x + 13x2 = 160 Solving 84x + 13x2 = 160 Solving for variable 'x'. Reorder the terms: -160 + 84x + 13x2 = 160 + -160 Combine like terms: 160 + -160 = 0 -160 + 84x + 13x2 = 0 Factor a trinomial. (-8 + -1x)(20 + -13x) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(20 + -13x)' equal to zero and attempt to solve: Simplifying 20 + -13x = 0 Solving 20 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -13x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = 0 + -20 -13x = 0 + -20 Combine like terms: 0 + -20 = -20 -13x = -20 Divide each side by '-13'. x = 1.538461538 Simplifying x = 1.538461538Solution
x = {-8, 1.538461538}
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