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Simplifying 2x * x + -1x + -153 = 0 Multiply x * x 2x2 + -1x + -153 = 0 Reorder the terms: -153 + -1x + 2x2 = 0 Solving -153 + -1x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -2x)(9 + -1x) = 0Subproblem 1
Set the factor '(-17 + -2x)' equal to zero and attempt to solve: Simplifying -17 + -2x = 0 Solving -17 + -2x = 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 + -2x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = 0 + 17 -2x = 0 + 17 Combine like terms: 0 + 17 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5Subproblem 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 = {-8.5, 9}
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