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Simplifying 0 = x2 + 12x + -220 Reorder the terms: 0 = -220 + 12x + x2 Solving 0 = -220 + 12x + x2 Solving for variable 'x'. Combine like terms: 0 + 220 = 220 220 + -12x + -1x2 = -220 + 12x + x2 + 220 + -12x + -1x2 Reorder the terms: 220 + -12x + -1x2 = -220 + 220 + 12x + -12x + x2 + -1x2 Combine like terms: -220 + 220 = 0 220 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2 220 + -12x + -1x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 220 + -12x + -1x2 = 0 + x2 + -1x2 220 + -12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 220 + -12x + -1x2 = 0 Factor a trinomial. (10 + -1x)(22 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Simplifying x = -22Solution
x = {10, -22}
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