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Simplifying (x + -2)(x + -2) = (x + -2)(12)(12) Reorder the terms: (-2 + x)(x + -2) = (x + -2)(12)(12) Reorder the terms: (-2 + x)(-2 + x) = (x + -2)(12)(12) Multiply (-2 + x) * (-2 + x) (-2(-2 + x) + x(-2 + x)) = (x + -2)(12)(12) ((-2 * -2 + x * -2) + x(-2 + x)) = (x + -2)(12)(12) ((4 + -2x) + x(-2 + x)) = (x + -2)(12)(12) (4 + -2x + (-2 * x + x * x)) = (x + -2)(12)(12) (4 + -2x + (-2x + x2)) = (x + -2)(12)(12) Combine like terms: -2x + -2x = -4x (4 + -4x + x2) = (x + -2)(12)(12) Reorder the terms: 4 + -4x + x2 = (-2 + x)(12)(12) Reorder the terms for easier multiplication: 4 + -4x + x2 = 12 * 12(-2 + x) Multiply 12 * 12 4 + -4x + x2 = 144(-2 + x) 4 + -4x + x2 = (-2 * 144 + x * 144) 4 + -4x + x2 = (-288 + 144x) Solving 4 + -4x + x2 = -288 + 144x Solving for variable 'x'. Reorder the terms: 4 + 288 + -4x + -144x + x2 = -288 + 144x + 288 + -144x Combine like terms: 4 + 288 = 292 292 + -4x + -144x + x2 = -288 + 144x + 288 + -144x Combine like terms: -4x + -144x = -148x 292 + -148x + x2 = -288 + 144x + 288 + -144x Reorder the terms: 292 + -148x + x2 = -288 + 288 + 144x + -144x Combine like terms: -288 + 288 = 0 292 + -148x + x2 = 0 + 144x + -144x 292 + -148x + x2 = 144x + -144x Combine like terms: 144x + -144x = 0 292 + -148x + x2 = 0 Factor a trinomial. (2 + -1x)(146 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(146 + -1x)' equal to zero and attempt to solve: Simplifying 146 + -1x = 0 Solving 146 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-146' to each side of the equation. 146 + -146 + -1x = 0 + -146 Combine like terms: 146 + -146 = 0 0 + -1x = 0 + -146 -1x = 0 + -146 Combine like terms: 0 + -146 = -146 -1x = -146 Divide each side by '-1'. x = 146 Simplifying x = 146Solution
x = {2, 146}
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