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Simplifying (4x + -8)(8x + 10) = 0 Reorder the terms: (-8 + 4x)(8x + 10) = 0 Reorder the terms: (-8 + 4x)(10 + 8x) = 0 Multiply (-8 + 4x) * (10 + 8x) (-8(10 + 8x) + 4x * (10 + 8x)) = 0 ((10 * -8 + 8x * -8) + 4x * (10 + 8x)) = 0 ((-80 + -64x) + 4x * (10 + 8x)) = 0 (-80 + -64x + (10 * 4x + 8x * 4x)) = 0 (-80 + -64x + (40x + 32x2)) = 0 Combine like terms: -64x + 40x = -24x (-80 + -24x + 32x2) = 0 Solving -80 + -24x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-10 + -3x + 4x2) = 0 Factor a trinomial. 8((-5 + -4x)(2 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 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 = {-1.25, 2}
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