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Simplifying x(10 + 2x) = 3600 (10 * x + 2x * x) = 3600 (10x + 2x2) = 3600 Solving 10x + 2x2 = 3600 Solving for variable 'x'. Reorder the terms: -3600 + 10x + 2x2 = 3600 + -3600 Combine like terms: 3600 + -3600 = 0 -3600 + 10x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1800 + 5x + x2) = 0 Factor a trinomial. 2((-45 + -1x)(40 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve: Simplifying -45 + -1x = 0 Solving -45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 0 + 45 -1x = 0 + 45 Combine like terms: 0 + 45 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {-45, 40}
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