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Simplifying (x + 20)(x) = 4800 Reorder the terms: (20 + x)(x) = 4800 Reorder the terms for easier multiplication: x(20 + x) = 4800 (20 * x + x * x) = 4800 (20x + x2) = 4800 Solving 20x + x2 = 4800 Solving for variable 'x'. Reorder the terms: -4800 + 20x + x2 = 4800 + -4800 Combine like terms: 4800 + -4800 = 0 -4800 + 20x + x2 = 0 Factor a trinomial. (-80 + -1x)(60 + -1x) = 0Subproblem 1
Set the factor '(-80 + -1x)' equal to zero and attempt to solve: Simplifying -80 + -1x = 0 Solving -80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -1x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -1x = 0 + 80 -1x = 0 + 80 Combine like terms: 0 + 80 = 80 -1x = 80 Divide each side by '-1'. x = -80 Simplifying x = -80Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {-80, 60}
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