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Simplifying (12 + -1x)(100 + 10x) = 0 Multiply (12 + -1x) * (100 + 10x) (12(100 + 10x) + -1x * (100 + 10x)) = 0 ((100 * 12 + 10x * 12) + -1x * (100 + 10x)) = 0 ((1200 + 120x) + -1x * (100 + 10x)) = 0 (1200 + 120x + (100 * -1x + 10x * -1x)) = 0 (1200 + 120x + (-100x + -10x2)) = 0 Combine like terms: 120x + -100x = 20x (1200 + 20x + -10x2) = 0 Solving 1200 + 20x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(120 + 2x + -1x2) = 0 Factor a trinomial. 10((12 + -1x)(10 + x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {12, -10}
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