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Simplifying (2x + -8)(x + -3) = 0 Reorder the terms: (-8 + 2x)(x + -3) = 0 Reorder the terms: (-8 + 2x)(-3 + x) = 0 Multiply (-8 + 2x) * (-3 + x) (-8(-3 + x) + 2x * (-3 + x)) = 0 ((-3 * -8 + x * -8) + 2x * (-3 + x)) = 0 ((24 + -8x) + 2x * (-3 + x)) = 0 (24 + -8x + (-3 * 2x + x * 2x)) = 0 (24 + -8x + (-6x + 2x2)) = 0 Combine like terms: -8x + -6x = -14x (24 + -14x + 2x2) = 0 Solving 24 + -14x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -7x + x2) = 0 Factor a trinomial. 2((3 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {3, 4}
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