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Simplifying (6x + -3)(8x + 8) = 0 Reorder the terms: (-3 + 6x)(8x + 8) = 0 Reorder the terms: (-3 + 6x)(8 + 8x) = 0 Multiply (-3 + 6x) * (8 + 8x) (-3(8 + 8x) + 6x * (8 + 8x)) = 0 ((8 * -3 + 8x * -3) + 6x * (8 + 8x)) = 0 ((-24 + -24x) + 6x * (8 + 8x)) = 0 (-24 + -24x + (8 * 6x + 8x * 6x)) = 0 (-24 + -24x + (48x + 48x2)) = 0 Combine like terms: -24x + 48x = 24x (-24 + 24x + 48x2) = 0 Solving -24 + 24x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24'. 24(-1 + x + 2x2) = 0 Factor a trinomial. 24((-1 + -1x)(1 + -2x)) = 0 Ignore the factor 24.Subproblem 1
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 = -1Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-1, 0.5}
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