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Simplifying (x + -10)(x + 6) = 0 Reorder the terms: (-10 + x)(x + 6) = 0 Reorder the terms: (-10 + x)(6 + x) = 0 Multiply (-10 + x) * (6 + x) (-10(6 + x) + x(6 + x)) = 0 ((6 * -10 + x * -10) + x(6 + x)) = 0 ((-60 + -10x) + x(6 + x)) = 0 (-60 + -10x + (6 * x + x * x)) = 0 (-60 + -10x + (6x + x2)) = 0 Combine like terms: -10x + 6x = -4x (-60 + -4x + x2) = 0 Solving -60 + -4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 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 = {-6, 10}
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