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Simplifying (10x + -4)(16x + 6) = 0 Reorder the terms: (-4 + 10x)(16x + 6) = 0 Reorder the terms: (-4 + 10x)(6 + 16x) = 0 Multiply (-4 + 10x) * (6 + 16x) (-4(6 + 16x) + 10x * (6 + 16x)) = 0 ((6 * -4 + 16x * -4) + 10x * (6 + 16x)) = 0 ((-24 + -64x) + 10x * (6 + 16x)) = 0 (-24 + -64x + (6 * 10x + 16x * 10x)) = 0 (-24 + -64x + (60x + 160x2)) = 0 Combine like terms: -64x + 60x = -4x (-24 + -4x + 160x2) = 0 Solving -24 + -4x + 160x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + -1x + 40x2) = 0 Factor a trinomial. 4((-3 + -8x)(2 + -5x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve: Simplifying -3 + -8x = 0 Solving -3 + -8x = 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 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-0.375, 0.4}
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