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Simplifying 2x(9x + -10)(7x + 3)(-4x + -8) = 0 Reorder the terms: 2x(-10 + 9x)(7x + 3)(-4x + -8) = 0 Reorder the terms: 2x(-10 + 9x)(3 + 7x)(-4x + -8) = 0 Reorder the terms: 2x(-10 + 9x)(3 + 7x)(-8 + -4x) = 0 Multiply (-10 + 9x) * (3 + 7x) 2x(-10(3 + 7x) + 9x * (3 + 7x))(-8 + -4x) = 0 2x((3 * -10 + 7x * -10) + 9x * (3 + 7x))(-8 + -4x) = 0 2x((-30 + -70x) + 9x * (3 + 7x))(-8 + -4x) = 0 2x(-30 + -70x + (3 * 9x + 7x * 9x))(-8 + -4x) = 0 2x(-30 + -70x + (27x + 63x2))(-8 + -4x) = 0 Combine like terms: -70x + 27x = -43x 2x(-30 + -43x + 63x2)(-8 + -4x) = 0 Multiply (-30 + -43x + 63x2) * (-8 + -4x) 2x(-30(-8 + -4x) + -43x * (-8 + -4x) + 63x2 * (-8 + -4x)) = 0 2x((-8 * -30 + -4x * -30) + -43x * (-8 + -4x) + 63x2 * (-8 + -4x)) = 0 2x((240 + 120x) + -43x * (-8 + -4x) + 63x2 * (-8 + -4x)) = 0 2x(240 + 120x + (-8 * -43x + -4x * -43x) + 63x2 * (-8 + -4x)) = 0 2x(240 + 120x + (344x + 172x2) + 63x2 * (-8 + -4x)) = 0 2x(240 + 120x + 344x + 172x2 + (-8 * 63x2 + -4x * 63x2)) = 0 2x(240 + 120x + 344x + 172x2 + (-504x2 + -252x3)) = 0 Combine like terms: 120x + 344x = 464x 2x(240 + 464x + 172x2 + -504x2 + -252x3) = 0 Combine like terms: 172x2 + -504x2 = -332x2 2x(240 + 464x + -332x2 + -252x3) = 0 (240 * 2x + 464x * 2x + -332x2 * 2x + -252x3 * 2x) = 0 (480x + 928x2 + -664x3 + -504x4) = 0 Solving 480x + 928x2 + -664x3 + -504x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(60 + 116x + -83x2 + -63x3) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(60 + 116x + -83x2 + -63x3)' equal to zero and attempt to solve: Simplifying 60 + 116x + -83x2 + -63x3 = 0 Solving 60 + 116x + -83x2 + -63x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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