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Simplifying 3536 = x(x + 9) * 26 Reorder the terms: 3536 = x(9 + x) * 26 Reorder the terms for easier multiplication: 3536 = 26x(9 + x) 3536 = (9 * 26x + x * 26x) 3536 = (234x + 26x2) Solving 3536 = 234x + 26x2 Solving for variable 'x'. Reorder the terms: 3536 + -234x + -26x2 = 234x + -234x + 26x2 + -26x2 Combine like terms: 234x + -234x = 0 3536 + -234x + -26x2 = 0 + 26x2 + -26x2 3536 + -234x + -26x2 = 26x2 + -26x2 Combine like terms: 26x2 + -26x2 = 0 3536 + -234x + -26x2 = 0 Factor out the Greatest Common Factor (GCF), '26'. 26(136 + -9x + -1x2) = 0 Factor a trinomial. 26((8 + -1x)(17 + x)) = 0 Ignore the factor 26.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 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 = {8, -17}
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