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Simplifying (5x + -30)(x + -2) = 0 Reorder the terms: (-30 + 5x)(x + -2) = 0 Reorder the terms: (-30 + 5x)(-2 + x) = 0 Multiply (-30 + 5x) * (-2 + x) (-30(-2 + x) + 5x * (-2 + x)) = 0 ((-2 * -30 + x * -30) + 5x * (-2 + x)) = 0 ((60 + -30x) + 5x * (-2 + x)) = 0 (60 + -30x + (-2 * 5x + x * 5x)) = 0 (60 + -30x + (-10x + 5x2)) = 0 Combine like terms: -30x + -10x = -40x (60 + -40x + 5x2) = 0 Solving 60 + -40x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(12 + -8x + x2) = 0 Factor a trinomial. 5((2 + -1x)(6 + -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 '(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 = 6Solution
x = {2, 6}
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