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Simplifying -8x2 + -11x + 600 = 0 Reorder the terms: 600 + -11x + -8x2 = 0 Solving 600 + -11x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(75 + 8x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 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 = {8, -9.375}
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