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Simplifying (2X + -10)(X + 3) = 0 Reorder the terms: (-10 + 2X)(X + 3) = 0 Reorder the terms: (-10 + 2X)(3 + X) = 0 Multiply (-10 + 2X) * (3 + X) (-10(3 + X) + 2X * (3 + X)) = 0 ((3 * -10 + X * -10) + 2X * (3 + X)) = 0 ((-30 + -10X) + 2X * (3 + X)) = 0 (-30 + -10X + (3 * 2X + X * 2X)) = 0 (-30 + -10X + (6X + 2X2)) = 0 Combine like terms: -10X + 6X = -4X (-30 + -4X + 2X2) = 0 Solving -30 + -4X + 2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -2X + X2) = 0 Factor a trinomial. 2((-3 + -1X)(5 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1X)' equal to zero and attempt to solve: Simplifying -3 + -1X = 0 Solving -3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1X = 0 + 3 -1X = 0 + 3 Combine like terms: 0 + 3 = 3 -1X = 3 Divide each side by '-1'. X = -3 Simplifying X = -3Subproblem 2
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 = 5Solution
X = {-3, 5}
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