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Simplifying (5x + 10)(x + -3) = 0 Reorder the terms: (10 + 5x)(x + -3) = 0 Reorder the terms: (10 + 5x)(-3 + x) = 0 Multiply (10 + 5x) * (-3 + x) (10(-3 + x) + 5x * (-3 + x)) = 0 ((-3 * 10 + x * 10) + 5x * (-3 + x)) = 0 ((-30 + 10x) + 5x * (-3 + x)) = 0 (-30 + 10x + (-3 * 5x + x * 5x)) = 0 (-30 + 10x + (-15x + 5x2)) = 0 Combine like terms: 10x + -15x = -5x (-30 + -5x + 5x2) = 0 Solving -30 + -5x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + -1x + x2) = 0 Factor a trinomial. 5((-2 + -1x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
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 = 3Solution
x = {-2, 3}
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