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Simplifying (x + -5)(x + -10) = 0 Reorder the terms: (-5 + x)(x + -10) = 0 Reorder the terms: (-5 + x)(-10 + x) = 0 Multiply (-5 + x) * (-10 + x) (-5(-10 + x) + x(-10 + x)) = 0 ((-10 * -5 + x * -5) + x(-10 + x)) = 0 ((50 + -5x) + x(-10 + x)) = 0 (50 + -5x + (-10 * x + x * x)) = 0 (50 + -5x + (-10x + x2)) = 0 Combine like terms: -5x + -10x = -15x (50 + -15x + x2) = 0 Solving 50 + -15x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(10 + -1x) = 0Subproblem 1
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 = 5Subproblem 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 = {5, 10}
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