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Simplifying (2x + 10) * x = 208 Reorder the terms: (10 + 2x) * x = 208 Reorder the terms for easier multiplication: x(10 + 2x) = 208 (10 * x + 2x * x) = 208 (10x + 2x2) = 208 Solving 10x + 2x2 = 208 Solving for variable 'x'. Reorder the terms: -208 + 10x + 2x2 = 208 + -208 Combine like terms: 208 + -208 = 0 -208 + 10x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-104 + 5x + x2) = 0 Factor a trinomial. 2((-13 + -1x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 2
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 = 8Solution
x = {-13, 8}
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