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Simplifying 0 = -5x2 + 39x + 8 Reorder the terms: 0 = 8 + 39x + -5x2 Solving 0 = 8 + 39x + -5x2 Solving for variable 'x'. Combine like terms: 0 + -8 = -8 -8 + -39x + 5x2 = 8 + 39x + -5x2 + -8 + -39x + 5x2 Reorder the terms: -8 + -39x + 5x2 = 8 + -8 + 39x + -39x + -5x2 + 5x2 Combine like terms: 8 + -8 = 0 -8 + -39x + 5x2 = 0 + 39x + -39x + -5x2 + 5x2 -8 + -39x + 5x2 = 39x + -39x + -5x2 + 5x2 Combine like terms: 39x + -39x = 0 -8 + -39x + 5x2 = 0 + -5x2 + 5x2 -8 + -39x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -8 + -39x + 5x2 = 0 Factor a trinomial. (-1 + -5x)(8 + -1x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
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 = 8Solution
x = {-0.2, 8}
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