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Simplifying 600 = x(x + 10) Reorder the terms: 600 = x(10 + x) 600 = (10 * x + x * x) 600 = (10x + x2) Solving 600 = 10x + x2 Solving for variable 'x'. Reorder the terms: 600 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 600 + -10x + -1x2 = 0 + x2 + -1x2 600 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 600 + -10x + -1x2 = 0 Factor a trinomial. (20 + -1x)(30 + x) = 0Subproblem 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 '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30Solution
x = {20, -30}
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