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Simplifying (x + 20)(x + -30) = 0 Reorder the terms: (20 + x)(x + -30) = 0 Reorder the terms: (20 + x)(-30 + x) = 0 Multiply (20 + x) * (-30 + x) (20(-30 + x) + x(-30 + x)) = 0 ((-30 * 20 + x * 20) + x(-30 + x)) = 0 ((-600 + 20x) + x(-30 + x)) = 0 (-600 + 20x + (-30 * x + x * x)) = 0 (-600 + 20x + (-30x + x2)) = 0 Combine like terms: 20x + -30x = -10x (-600 + -10x + x2) = 0 Solving -600 + -10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-20 + -1x)(30 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 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 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {-20, 30}
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