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Simplifying 2132 = x2 + 11x Reorder the terms: 2132 = 11x + x2 Solving 2132 = 11x + x2 Solving for variable 'x'. Reorder the terms: 2132 + -11x + -1x2 = 11x + -11x + x2 + -1x2 Combine like terms: 11x + -11x = 0 2132 + -11x + -1x2 = 0 + x2 + -1x2 2132 + -11x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2132 + -11x + -1x2 = 0 Factor a trinomial. (41 + -1x)(52 + x) = 0Subproblem 1
Set the factor '(41 + -1x)' equal to zero and attempt to solve: Simplifying 41 + -1x = 0 Solving 41 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -1x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 0 + -41 -1x = 0 + -41 Combine like terms: 0 + -41 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41Subproblem 2
Set the factor '(52 + x)' equal to zero and attempt to solve: Simplifying 52 + x = 0 Solving 52 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + x = 0 + -52 x = 0 + -52 Combine like terms: 0 + -52 = -52 x = -52 Simplifying x = -52Solution
x = {41, -52}
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