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Simplifying -8x2 = 6x + -5 Reorder the terms: -8x2 = -5 + 6x Solving -8x2 = -5 + 6x Solving for variable 'x'. Reorder the terms: 5 + -6x + -8x2 = -5 + 6x + 5 + -6x Reorder the terms: 5 + -6x + -8x2 = -5 + 5 + 6x + -6x Combine like terms: -5 + 5 = 0 5 + -6x + -8x2 = 0 + 6x + -6x 5 + -6x + -8x2 = 6x + -6x Combine like terms: 6x + -6x = 0 5 + -6x + -8x2 = 0 Factor a trinomial. (1 + -2x)(5 + 4x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {0.5, -1.25}
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