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Simplifying 132 = (x)(x + 1) Reorder the terms: 132 = x(1 + x) 132 = (1 * x + x * x) 132 = (1x + x2) Solving 132 = 1x + x2 Solving for variable 'x'. Reorder the terms: 132 + -1x + -1x2 = 1x + -1x + x2 + -1x2 Combine like terms: 1x + -1x = 0 132 + -1x + -1x2 = 0 + x2 + -1x2 132 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 132 + -1x + -1x2 = 0 Factor a trinomial. (11 + -1x)(12 + x) = 0Subproblem 1
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 = 11Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 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 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {11, -12}
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