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Simplifying 3((20 + -2x)(20 + -2x)) = 0 Multiply (20 + -2x) * (20 + -2x) 3((20(20 + -2x) + -2x * (20 + -2x))) = 0 3(((20 * 20 + -2x * 20) + -2x * (20 + -2x))) = 0 3(((400 + -40x) + -2x * (20 + -2x))) = 0 3((400 + -40x + (20 * -2x + -2x * -2x))) = 0 3((400 + -40x + (-40x + 4x2))) = 0 Combine like terms: -40x + -40x = -80x 3((400 + -80x + 4x2)) = 0 (400 * 3 + -80x * 3 + 4x2 * 3) = 0 (1200 + -240x + 12x2) = 0 Solving 1200 + -240x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(100 + -20x + x2) = 0 Factor a trinomial. 12((10 + -1x)(10 + -1x)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {10, 10}
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