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Simplifying 110x2 + -21x = 110 Reorder the terms: -21x + 110x2 = 110 Solving -21x + 110x2 = 110 Solving for variable 'x'. Reorder the terms: -110 + -21x + 110x2 = 110 + -110 Combine like terms: 110 + -110 = 0 -110 + -21x + 110x2 = 0 Factor a trinomial. (-10 + -11x)(11 + -10x) = 0Subproblem 1
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 2
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 = 1.1Solution
x = {-0.9090909091, 1.1}
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