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Simplifying 110x2 + 41x + -88 = 0 Reorder the terms: -88 + 41x + 110x2 = 0 Solving -88 + 41x + 110x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -10x)(8 + -11x) = 0Subproblem 1
Set the factor '(-11 + -10x)' equal to zero and attempt to solve: Simplifying -11 + -10x = 0 Solving -11 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -10x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -10x = 0 + 11 -10x = 0 + 11 Combine like terms: 0 + 11 = 11 -10x = 11 Divide each side by '-10'. x = -1.1 Simplifying x = -1.1Subproblem 2
Set the factor '(8 + -11x)' equal to zero and attempt to solve: Simplifying 8 + -11x = 0 Solving 8 + -11x = 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 + -11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 0 + -8 -11x = 0 + -8 Combine like terms: 0 + -8 = -8 -11x = -8 Divide each side by '-11'. x = 0.7272727273 Simplifying x = 0.7272727273Solution
x = {-1.1, 0.7272727273}
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