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Simplifying (2 + -1x)(5 + -1x) = 0 Multiply (2 + -1x) * (5 + -1x) (2(5 + -1x) + -1x * (5 + -1x)) = 0 ((5 * 2 + -1x * 2) + -1x * (5 + -1x)) = 0 ((10 + -2x) + -1x * (5 + -1x)) = 0 (10 + -2x + (5 * -1x + -1x * -1x)) = 0 (10 + -2x + (-5x + 1x2)) = 0 Combine like terms: -2x + -5x = -7x (10 + -7x + 1x2) = 0 Solving 10 + -7x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {2, 5}
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