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Simplifying 11x3 + -100x2 + -100x = 0 Reorder the terms: -100x + -100x2 + 11x3 = 0 Solving -100x + -100x2 + 11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-100 + -100x + 11x2) = 0 Factor a trinomial. x((-10 + -11x)(10 + -1x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = -0.9090909091Subproblem 3
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 = 10Solution
x = {0, -0.9090909091, 10}
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