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Simplifying 20 = x2 + 3x + 2 Reorder the terms: 20 = 2 + 3x + x2 Solving 20 = 2 + 3x + x2 Solving for variable 'x'. Combine like terms: 20 + -2 = 18 18 + -3x + -1x2 = 2 + 3x + x2 + -2 + -3x + -1x2 Reorder the terms: 18 + -3x + -1x2 = 2 + -2 + 3x + -3x + x2 + -1x2 Combine like terms: 2 + -2 = 0 18 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2 18 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 18 + -3x + -1x2 = 0 + x2 + -1x2 18 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -3x + -1x2 = 0 Factor a trinomial. (3 + -1x)(6 + x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {3, -6}
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