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Simplifying 8x2 + 19x + -8 = 12 + -8x Reorder the terms: -8 + 19x + 8x2 = 12 + -8x Solving -8 + 19x + 8x2 = 12 + -8x Solving for variable 'x'. Reorder the terms: -8 + -12 + 19x + 8x + 8x2 = 12 + -8x + -12 + 8x Combine like terms: -8 + -12 = -20 -20 + 19x + 8x + 8x2 = 12 + -8x + -12 + 8x Combine like terms: 19x + 8x = 27x -20 + 27x + 8x2 = 12 + -8x + -12 + 8x Reorder the terms: -20 + 27x + 8x2 = 12 + -12 + -8x + 8x Combine like terms: 12 + -12 = 0 -20 + 27x + 8x2 = 0 + -8x + 8x -20 + 27x + 8x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 27x + 8x2 = 0 Factor a trinomial. (-4 + -1x)(5 + -8x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 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 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {-4, 0.625}
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