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Simplifying (x + -2)(x + -5) = 0 Reorder the terms: (-2 + x)(x + -5) = 0 Reorder the terms: (-2 + x)(-5 + x) = 0 Multiply (-2 + x) * (-5 + x) (-2(-5 + x) + x(-5 + x)) = 0 ((-5 * -2 + x * -2) + x(-5 + x)) = 0 ((10 + -2x) + x(-5 + x)) = 0 (10 + -2x + (-5 * x + x * x)) = 0 (10 + -2x + (-5x + x2)) = 0 Combine like terms: -2x + -5x = -7x (10 + -7x + x2) = 0 Solving 10 + -7x + x2 = 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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