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Simplifying 8x2 + 3x + -675 = 0 Reorder the terms: -675 + 3x + 8x2 = 0 Solving -675 + 3x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-75 + -8x)(9 + -1x) = 0Subproblem 1
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 = -9.375Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-9.375, 9}
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