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Simplifying 210 = x2 + 5x + 6 Reorder the terms: 210 = 6 + 5x + x2 Solving 210 = 6 + 5x + x2 Solving for variable 'x'. Combine like terms: 210 + -6 = 204 204 + -5x + -1x2 = 6 + 5x + x2 + -6 + -5x + -1x2 Reorder the terms: 204 + -5x + -1x2 = 6 + -6 + 5x + -5x + x2 + -1x2 Combine like terms: 6 + -6 = 0 204 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 204 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 204 + -5x + -1x2 = 0 + x2 + -1x2 204 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 204 + -5x + -1x2 = 0 Factor a trinomial. (12 + -1x)(17 + x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {12, -17}
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