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Simplifying 11x2 + -157x + 396 = 0 Reorder the terms: 396 + -157x + 11x2 = 0 Solving 396 + -157x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (36 + -11x)(11 + -1x) = 0Subproblem 1
Set the factor '(36 + -11x)' equal to zero and attempt to solve: Simplifying 36 + -11x = 0 Solving 36 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -11x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -11x = 0 + -36 -11x = 0 + -36 Combine like terms: 0 + -36 = -36 -11x = -36 Divide each side by '-11'. x = 3.272727273 Simplifying x = 3.272727273Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 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 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {3.272727273, 11}
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