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Simplifying 11x2 + 2x + 1 = 49 Reorder the terms: 1 + 2x + 11x2 = 49 Solving 1 + 2x + 11x2 = 49 Solving for variable 'x'. Reorder the terms: 1 + -49 + 2x + 11x2 = 49 + -49 Combine like terms: 1 + -49 = -48 -48 + 2x + 11x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -48 + 2x + 11x2 = 0 Factor a trinomial. (-24 + -11x)(2 + -1x) = 0Subproblem 1
Set the factor '(-24 + -11x)' equal to zero and attempt to solve: Simplifying -24 + -11x = 0 Solving -24 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -11x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -11x = 0 + 24 -11x = 0 + 24 Combine like terms: 0 + 24 = 24 -11x = 24 Divide each side by '-11'. x = -2.181818182 Simplifying x = -2.181818182Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.181818182, 2}
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