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Simplifying 0 = 8x2 + 19x + -525 Reorder the terms: 0 = -525 + 19x + 8x2 Solving 0 = -525 + 19x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 525 = 525 525 + -19x + -8x2 = -525 + 19x + 8x2 + 525 + -19x + -8x2 Reorder the terms: 525 + -19x + -8x2 = -525 + 525 + 19x + -19x + 8x2 + -8x2 Combine like terms: -525 + 525 = 0 525 + -19x + -8x2 = 0 + 19x + -19x + 8x2 + -8x2 525 + -19x + -8x2 = 19x + -19x + 8x2 + -8x2 Combine like terms: 19x + -19x = 0 525 + -19x + -8x2 = 0 + 8x2 + -8x2 525 + -19x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 525 + -19x + -8x2 = 0 Factor a trinomial. (7 + -1x)(75 + 8x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(75 + 8x)' equal to zero and attempt to solve: Simplifying 75 + 8x = 0 Solving 75 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 8x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 8x = 0 + -75 8x = 0 + -75 Combine like terms: 0 + -75 = -75 8x = -75 Divide each side by '8'. x = -9.375 Simplifying x = -9.375Solution
x = {7, -9.375}
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