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Simplifying 7x2 = 39x + -20 Reorder the terms: 7x2 = -20 + 39x Solving 7x2 = -20 + 39x Solving for variable 'x'. Reorder the terms: 20 + -39x + 7x2 = -20 + 39x + 20 + -39x Reorder the terms: 20 + -39x + 7x2 = -20 + 20 + 39x + -39x Combine like terms: -20 + 20 = 0 20 + -39x + 7x2 = 0 + 39x + -39x 20 + -39x + 7x2 = 39x + -39x Combine like terms: 39x + -39x = 0 20 + -39x + 7x2 = 0 Factor a trinomial. (4 + -7x)(5 + -1x) = 0Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Subproblem 2
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 = 5Solution
x = {0.5714285714, 5}
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