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Simplifying 39x2 + -83x = 56 Reorder the terms: -83x + 39x2 = 56 Solving -83x + 39x2 = 56 Solving for variable 'x'. Reorder the terms: -56 + -83x + 39x2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + -83x + 39x2 = 0 Factor a trinomial. (-7 + -13x)(8 + -3x) = 0Subproblem 1
Set the factor '(-7 + -13x)' equal to zero and attempt to solve: Simplifying -7 + -13x = 0 Solving -7 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -13x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -13x = 0 + 7 -13x = 0 + 7 Combine like terms: 0 + 7 = 7 -13x = 7 Divide each side by '-13'. x = -0.5384615385 Simplifying x = -0.5384615385Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-0.5384615385, 2.666666667}
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