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Simplifying x(x + 2) + 1 = 144 Reorder the terms: x(2 + x) + 1 = 144 (2 * x + x * x) + 1 = 144 (2x + x2) + 1 = 144 Reorder the terms: 1 + 2x + x2 = 144 Solving 1 + 2x + x2 = 144 Solving for variable 'x'. Reorder the terms: 1 + -144 + 2x + x2 = 144 + -144 Combine like terms: 1 + -144 = -143 -143 + 2x + x2 = 144 + -144 Combine like terms: 144 + -144 = 0 -143 + 2x + x2 = 0 Factor a trinomial. (-13 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 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 = {-13, 11}
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