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Simplifying (10 + -2x)(5 + -1x) = 50 Multiply (10 + -2x) * (5 + -1x) (10(5 + -1x) + -2x * (5 + -1x)) = 50 ((5 * 10 + -1x * 10) + -2x * (5 + -1x)) = 50 ((50 + -10x) + -2x * (5 + -1x)) = 50 (50 + -10x + (5 * -2x + -1x * -2x)) = 50 (50 + -10x + (-10x + 2x2)) = 50 Combine like terms: -10x + -10x = -20x (50 + -20x + 2x2) = 50 Add '-50' to each side of the equation. 50 + -20x + -50 + 2x2 = 50 + -50 Reorder the terms: 50 + -50 + -20x + 2x2 = 50 + -50 Combine like terms: 50 + -50 = 0 0 + -20x + 2x2 = 50 + -50 -20x + 2x2 = 50 + -50 Combine like terms: 50 + -50 = 0 -20x + 2x2 = 0 Solving -20x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-10 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, 10}
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