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Simplifying 0 = 8x2 + -335x + -1125 Reorder the terms: 0 = -1125 + -335x + 8x2 Solving 0 = -1125 + -335x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 1125 = 1125 1125 + 335x + -8x2 = -1125 + -335x + 8x2 + 1125 + 335x + -8x2 Reorder the terms: 1125 + 335x + -8x2 = -1125 + 1125 + -335x + 335x + 8x2 + -8x2 Combine like terms: -1125 + 1125 = 0 1125 + 335x + -8x2 = 0 + -335x + 335x + 8x2 + -8x2 1125 + 335x + -8x2 = -335x + 335x + 8x2 + -8x2 Combine like terms: -335x + 335x = 0 1125 + 335x + -8x2 = 0 + 8x2 + -8x2 1125 + 335x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 1125 + 335x + -8x2 = 0 Factor a trinomial. (45 + -1x)(25 + 8x) = 0Subproblem 1
Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45Subproblem 2
Set the factor '(25 + 8x)' equal to zero and attempt to solve: Simplifying 25 + 8x = 0 Solving 25 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 8x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8x = 0 + -25 8x = 0 + -25 Combine like terms: 0 + -25 = -25 8x = -25 Divide each side by '8'. x = -3.125 Simplifying x = -3.125Solution
x = {45, -3.125}
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