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Simplifying 11x2 + -98x + -120 = 0 Reorder the terms: -120 + -98x + 11x2 = 0 Solving -120 + -98x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -11x)(10 + -1x) = 0Subproblem 1
Set the factor '(-12 + -11x)' equal to zero and attempt to solve: Simplifying -12 + -11x = 0 Solving -12 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -11x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 0 + 12 -11x = 0 + 12 Combine like terms: 0 + 12 = 12 -11x = 12 Divide each side by '-11'. x = -1.090909091 Simplifying x = -1.090909091Subproblem 2
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 = {-1.090909091, 10}
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