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Simplifying 1200 = 2x2 + 18x + 316 Reorder the terms: 1200 = 316 + 18x + 2x2 Solving 1200 = 316 + 18x + 2x2 Solving for variable 'x'. Combine like terms: 1200 + -316 = 884 884 + -18x + -2x2 = 316 + 18x + 2x2 + -316 + -18x + -2x2 Reorder the terms: 884 + -18x + -2x2 = 316 + -316 + 18x + -18x + 2x2 + -2x2 Combine like terms: 316 + -316 = 0 884 + -18x + -2x2 = 0 + 18x + -18x + 2x2 + -2x2 884 + -18x + -2x2 = 18x + -18x + 2x2 + -2x2 Combine like terms: 18x + -18x = 0 884 + -18x + -2x2 = 0 + 2x2 + -2x2 884 + -18x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 884 + -18x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(442 + -9x + -1x2) = 0 Factor a trinomial. 2((17 + -1x)(26 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 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 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve: Simplifying 26 + x = 0 Solving 26 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + x = 0 + -26 x = 0 + -26 Combine like terms: 0 + -26 = -26 x = -26 Simplifying x = -26Solution
x = {17, -26}
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