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Simplifying (x + -8)(x + -10) = 0 Reorder the terms: (-8 + x)(x + -10) = 0 Reorder the terms: (-8 + x)(-10 + x) = 0 Multiply (-8 + x) * (-10 + x) (-8(-10 + x) + x(-10 + x)) = 0 ((-10 * -8 + x * -8) + x(-10 + x)) = 0 ((80 + -8x) + x(-10 + x)) = 0 (80 + -8x + (-10 * x + x * x)) = 0 (80 + -8x + (-10x + x2)) = 0 Combine like terms: -8x + -10x = -18x (80 + -18x + x2) = 0 Solving 80 + -18x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 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 = {8, 10}
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