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Simplifying x2 + 21x + 32 = 12 Reorder the terms: 32 + 21x + x2 = 12 Solving 32 + 21x + x2 = 12 Solving for variable 'x'. Reorder the terms: 32 + -12 + 21x + x2 = 12 + -12 Combine like terms: 32 + -12 = 20 20 + 21x + x2 = 12 + -12 Combine like terms: 12 + -12 = 0 20 + 21x + x2 = 0 Factor a trinomial. (20 + x)(1 + x) = 0Subproblem 1
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-20, -1}
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