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Simplifying (2x + 6)(5x + -5) = 0 Reorder the terms: (6 + 2x)(5x + -5) = 0 Reorder the terms: (6 + 2x)(-5 + 5x) = 0 Multiply (6 + 2x) * (-5 + 5x) (6(-5 + 5x) + 2x * (-5 + 5x)) = 0 ((-5 * 6 + 5x * 6) + 2x * (-5 + 5x)) = 0 ((-30 + 30x) + 2x * (-5 + 5x)) = 0 (-30 + 30x + (-5 * 2x + 5x * 2x)) = 0 (-30 + 30x + (-10x + 10x2)) = 0 Combine like terms: 30x + -10x = 20x (-30 + 20x + 10x2) = 0 Solving -30 + 20x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(-3 + 2x + x2) = 0 Factor a trinomial. 10((-3 + -1x)(1 + -1x)) = 0 Ignore the factor 10.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-3, 1}
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