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Simplifying 0 = 8x2 + 5x + -108 Reorder the terms: 0 = -108 + 5x + 8x2 Solving 0 = -108 + 5x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 108 = 108 108 + -5x + -8x2 = -108 + 5x + 8x2 + 108 + -5x + -8x2 Reorder the terms: 108 + -5x + -8x2 = -108 + 108 + 5x + -5x + 8x2 + -8x2 Combine like terms: -108 + 108 = 0 108 + -5x + -8x2 = 0 + 5x + -5x + 8x2 + -8x2 108 + -5x + -8x2 = 5x + -5x + 8x2 + -8x2 Combine like terms: 5x + -5x = 0 108 + -5x + -8x2 = 0 + 8x2 + -8x2 108 + -5x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 108 + -5x + -8x2 = 0 Factor a trinomial. (27 + -8x)(4 + x) = 0Subproblem 1
Set the factor '(27 + -8x)' equal to zero and attempt to solve: Simplifying 27 + -8x = 0 Solving 27 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -8x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = 0 + -27 -8x = 0 + -27 Combine like terms: 0 + -27 = -27 -8x = -27 Divide each side by '-8'. x = 3.375 Simplifying x = 3.375Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {3.375, -4}
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