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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 = 2x (-80 + 2x + x2) = 0 Solving -80 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(8 + -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 '(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 = 8Solution
x = {-10, 8}
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