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Simplifying 600 = 20x2 + 20x Reorder the terms: 600 = 20x + 20x2 Solving 600 = 20x + 20x2 Solving for variable 'x'. Reorder the terms: 600 + -20x + -20x2 = 20x + -20x + 20x2 + -20x2 Combine like terms: 20x + -20x = 0 600 + -20x + -20x2 = 0 + 20x2 + -20x2 600 + -20x + -20x2 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 600 + -20x + -20x2 = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(30 + -1x + -1x2) = 0 Factor a trinomial. 20((5 + -1x)(6 + x)) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {5, -6}
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