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Simplifying 0 = 20x2 + 27x + -8 Reorder the terms: 0 = -8 + 27x + 20x2 Solving 0 = -8 + 27x + 20x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + -27x + -20x2 = -8 + 27x + 20x2 + 8 + -27x + -20x2 Reorder the terms: 8 + -27x + -20x2 = -8 + 8 + 27x + -27x + 20x2 + -20x2 Combine like terms: -8 + 8 = 0 8 + -27x + -20x2 = 0 + 27x + -27x + 20x2 + -20x2 8 + -27x + -20x2 = 27x + -27x + 20x2 + -20x2 Combine like terms: 27x + -27x = 0 8 + -27x + -20x2 = 0 + 20x2 + -20x2 8 + -27x + -20x2 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 8 + -27x + -20x2 = 0 Factor a trinomial. (1 + -4x)(8 + 5x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 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 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Solution
x = {0.25, -1.6}
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