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Simplifying 8x2 + -9x + -7 = 10 Reorder the terms: -7 + -9x + 8x2 = 10 Solving -7 + -9x + 8x2 = 10 Solving for variable 'x'. Reorder the terms: -7 + -10 + -9x + 8x2 = 10 + -10 Combine like terms: -7 + -10 = -17 -17 + -9x + 8x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -17 + -9x + 8x2 = 0 Factor a trinomial. (-1 + -1x)(17 + -8x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(17 + -8x)' equal to zero and attempt to solve: Simplifying 17 + -8x = 0 Solving 17 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -8x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 0 + -17 -8x = 0 + -17 Combine like terms: 0 + -17 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125Solution
x = {-1, 2.125}
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