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Simplifying x(2x + 10) = 600 Reorder the terms: x(10 + 2x) = 600 (10 * x + 2x * x) = 600 (10x + 2x2) = 600 Solving 10x + 2x2 = 600 Solving for variable 'x'. Reorder the terms: -600 + 10x + 2x2 = 600 + -600 Combine like terms: 600 + -600 = 0 -600 + 10x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-300 + 5x + x2) = 0 Factor a trinomial. 2((-20 + -1x)(15 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-20, 15}
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