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Simplifying (10 + -1x)(10 + -1x) = 0 Multiply (10 + -1x) * (10 + -1x) (10(10 + -1x) + -1x * (10 + -1x)) = 0 ((10 * 10 + -1x * 10) + -1x * (10 + -1x)) = 0 ((100 + -10x) + -1x * (10 + -1x)) = 0 (100 + -10x + (10 * -1x + -1x * -1x)) = 0 (100 + -10x + (-10x + 1x2)) = 0 Combine like terms: -10x + -10x = -20x (100 + -20x + 1x2) = 0 Solving 100 + -20x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -1x)(10 + -1x) = 0Subproblem 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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