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Simplifying (4x + -8)(6x + 2) = 0 Reorder the terms: (-8 + 4x)(6x + 2) = 0 Reorder the terms: (-8 + 4x)(2 + 6x) = 0 Multiply (-8 + 4x) * (2 + 6x) (-8(2 + 6x) + 4x * (2 + 6x)) = 0 ((2 * -8 + 6x * -8) + 4x * (2 + 6x)) = 0 ((-16 + -48x) + 4x * (2 + 6x)) = 0 (-16 + -48x + (2 * 4x + 6x * 4x)) = 0 (-16 + -48x + (8x + 24x2)) = 0 Combine like terms: -48x + 8x = -40x (-16 + -40x + 24x2) = 0 Solving -16 + -40x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-2 + -5x + 3x2) = 0 Factor a trinomial. 8((-1 + -3x)(2 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
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 = 2Solution
x = {-0.3333333333, 2}
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