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Simplifying (60 + -1x)(40 + -2x) = 0 Multiply (60 + -1x) * (40 + -2x) (60(40 + -2x) + -1x * (40 + -2x)) = 0 ((40 * 60 + -2x * 60) + -1x * (40 + -2x)) = 0 ((2400 + -120x) + -1x * (40 + -2x)) = 0 (2400 + -120x + (40 * -1x + -2x * -1x)) = 0 (2400 + -120x + (-40x + 2x2)) = 0 Combine like terms: -120x + -40x = -160x (2400 + -160x + 2x2) = 0 Solving 2400 + -160x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1200 + -80x + x2) = 0 Factor a trinomial. 2((20 + -1x)(60 + -1x)) = 0 Ignore the factor 2.Subproblem 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 '(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 = {20, 60}
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