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Simplifying (X + 6)(X + -10) = 0 Reorder the terms: (6 + X)(X + -10) = 0 Reorder the terms: (6 + X)(-10 + X) = 0 Multiply (6 + X) * (-10 + X) (6(-10 + X) + X(-10 + X)) = 0 ((-10 * 6 + X * 6) + X(-10 + X)) = 0 ((-60 + 6X) + X(-10 + X)) = 0 (-60 + 6X + (-10 * X + X * X)) = 0 (-60 + 6X + (-10X + X2)) = 0 Combine like terms: 6X + -10X = -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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