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Simplifying 4x2(x + -4)(x + -4)(x + -4) = 0 Reorder the terms: 4x2(-4 + x)(x + -4)(x + -4) = 0 Reorder the terms: 4x2(-4 + x)(-4 + x)(x + -4) = 0 Reorder the terms: 4x2(-4 + x)(-4 + x)(-4 + x) = 0 Multiply (-4 + x) * (-4 + x) 4x2(-4(-4 + x) + x(-4 + x))(-4 + x) = 0 4x2((-4 * -4 + x * -4) + x(-4 + x))(-4 + x) = 0 4x2((16 + -4x) + x(-4 + x))(-4 + x) = 0 4x2(16 + -4x + (-4 * x + x * x))(-4 + x) = 0 4x2(16 + -4x + (-4x + x2))(-4 + x) = 0 Combine like terms: -4x + -4x = -8x 4x2(16 + -8x + x2)(-4 + x) = 0 Multiply (16 + -8x + x2) * (-4 + x) 4x2(16(-4 + x) + -8x * (-4 + x) + x2(-4 + x)) = 0 4x2((-4 * 16 + x * 16) + -8x * (-4 + x) + x2(-4 + x)) = 0 4x2((-64 + 16x) + -8x * (-4 + x) + x2(-4 + x)) = 0 4x2(-64 + 16x + (-4 * -8x + x * -8x) + x2(-4 + x)) = 0 4x2(-64 + 16x + (32x + -8x2) + x2(-4 + x)) = 0 4x2(-64 + 16x + 32x + -8x2 + (-4 * x2 + x * x2)) = 0 4x2(-64 + 16x + 32x + -8x2 + (-4x2 + x3)) = 0 Combine like terms: 16x + 32x = 48x 4x2(-64 + 48x + -8x2 + -4x2 + x3) = 0 Combine like terms: -8x2 + -4x2 = -12x2 4x2(-64 + 48x + -12x2 + x3) = 0 (-64 * 4x2 + 48x * 4x2 + -12x2 * 4x2 + x3 * 4x2) = 0 (-256x2 + 192x3 + -48x4 + 4x5) = 0 Solving -256x2 + 192x3 + -48x4 + 4x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-64 + 48x + -12x2 + x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-64 + 48x + -12x2 + x3)' equal to zero and attempt to solve: Simplifying -64 + 48x + -12x2 + x3 = 0 Solving -64 + 48x + -12x2 + x3 = 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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