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Simplifying 11x2 + 100x + -100 = 0 Reorder the terms: -100 + 100x + 11x2 = 0 Solving -100 + 100x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(10 + -11x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(10 + -11x)' equal to zero and attempt to solve: Simplifying 10 + -11x = 0 Solving 10 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 0 + -10 -11x = 0 + -10 Combine like terms: 0 + -10 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091Solution
x = {-10, 0.9090909091}
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