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Simplifying 12(12) = x(x + 10) Multiply 12 * 12 144 = x(x + 10) Reorder the terms: 144 = x(10 + x) 144 = (10 * x + x * x) 144 = (10x + x2) Solving 144 = 10x + x2 Solving for variable 'x'. Reorder the terms: 144 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 144 + -10x + -1x2 = 0 + x2 + -1x2 144 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 144 + -10x + -1x2 = 0 Factor a trinomial. (8 + -1x)(18 + x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {8, -18}
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