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Simplifying 0 = 32x2 + 20x + -25 Reorder the terms: 0 = -25 + 20x + 32x2 Solving 0 = -25 + 20x + 32x2 Solving for variable 'x'. Combine like terms: 0 + 25 = 25 25 + -20x + -32x2 = -25 + 20x + 32x2 + 25 + -20x + -32x2 Reorder the terms: 25 + -20x + -32x2 = -25 + 25 + 20x + -20x + 32x2 + -32x2 Combine like terms: -25 + 25 = 0 25 + -20x + -32x2 = 0 + 20x + -20x + 32x2 + -32x2 25 + -20x + -32x2 = 20x + -20x + 32x2 + -32x2 Combine like terms: 20x + -20x = 0 25 + -20x + -32x2 = 0 + 32x2 + -32x2 25 + -20x + -32x2 = 32x2 + -32x2 Combine like terms: 32x2 + -32x2 = 0 25 + -20x + -32x2 = 0 Factor a trinomial. (5 + -8x)(5 + 4x) = 0Subproblem 1
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 = 0.625Subproblem 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 = {0.625, -1.25}
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