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Simplifying x2 + 32x = -220 Reorder the terms: 32x + x2 = -220 Solving 32x + x2 = -220 Solving for variable 'x'. Reorder the terms: 220 + 32x + x2 = -220 + 220 Combine like terms: -220 + 220 = 0 220 + 32x + x2 = 0 Factor a trinomial. (22 + x)(10 + x) = 0Subproblem 1
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 = -22Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {-22, -10}
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