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Simplifying (8x + -8)(4x + 9) = 0 Reorder the terms: (-8 + 8x)(4x + 9) = 0 Reorder the terms: (-8 + 8x)(9 + 4x) = 0 Multiply (-8 + 8x) * (9 + 4x) (-8(9 + 4x) + 8x * (9 + 4x)) = 0 ((9 * -8 + 4x * -8) + 8x * (9 + 4x)) = 0 ((-72 + -32x) + 8x * (9 + 4x)) = 0 (-72 + -32x + (9 * 8x + 4x * 8x)) = 0 (-72 + -32x + (72x + 32x2)) = 0 Combine like terms: -32x + 72x = 40x (-72 + 40x + 32x2) = 0 Solving -72 + 40x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-9 + 5x + 4x2) = 0 Factor a trinomial. 8((-9 + -4x)(1 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 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 = {-2.25, 1}
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