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Simplifying 5x(x + -16)(x + -16)(x + -2)(x + -2) = 0 Reorder the terms: 5x(-16 + x)(x + -16)(x + -2)(x + -2) = 0 Reorder the terms: 5x(-16 + x)(-16 + x)(x + -2)(x + -2) = 0 Reorder the terms: 5x(-16 + x)(-16 + x)(-2 + x)(x + -2) = 0 Reorder the terms: 5x(-16 + x)(-16 + x)(-2 + x)(-2 + x) = 0 Multiply (-16 + x) * (-16 + x) 5x(-16(-16 + x) + x(-16 + x))(-2 + x)(-2 + x) = 0 5x((-16 * -16 + x * -16) + x(-16 + x))(-2 + x)(-2 + x) = 0 5x((256 + -16x) + x(-16 + x))(-2 + x)(-2 + x) = 0 5x(256 + -16x + (-16 * x + x * x))(-2 + x)(-2 + x) = 0 5x(256 + -16x + (-16x + x2))(-2 + x)(-2 + x) = 0 Combine like terms: -16x + -16x = -32x 5x(256 + -32x + x2)(-2 + x)(-2 + x) = 0 Multiply (256 + -32x + x2) * (-2 + x) 5x(256(-2 + x) + -32x * (-2 + x) + x2(-2 + x))(-2 + x) = 0 5x((-2 * 256 + x * 256) + -32x * (-2 + x) + x2(-2 + x))(-2 + x) = 0 5x((-512 + 256x) + -32x * (-2 + x) + x2(-2 + x))(-2 + x) = 0 5x(-512 + 256x + (-2 * -32x + x * -32x) + x2(-2 + x))(-2 + x) = 0 5x(-512 + 256x + (64x + -32x2) + x2(-2 + x))(-2 + x) = 0 5x(-512 + 256x + 64x + -32x2 + (-2 * x2 + x * x2))(-2 + x) = 0 5x(-512 + 256x + 64x + -32x2 + (-2x2 + x3))(-2 + x) = 0 Combine like terms: 256x + 64x = 320x 5x(-512 + 320x + -32x2 + -2x2 + x3)(-2 + x) = 0 Combine like terms: -32x2 + -2x2 = -34x2 5x(-512 + 320x + -34x2 + x3)(-2 + x) = 0 Multiply (-512 + 320x + -34x2 + x3) * (-2 + x) 5x(-512(-2 + x) + 320x * (-2 + x) + -34x2 * (-2 + x) + x3(-2 + x)) = 0 5x((-2 * -512 + x * -512) + 320x * (-2 + x) + -34x2 * (-2 + x) + x3(-2 + x)) = 0 5x((1024 + -512x) + 320x * (-2 + x) + -34x2 * (-2 + x) + x3(-2 + x)) = 0 5x(1024 + -512x + (-2 * 320x + x * 320x) + -34x2 * (-2 + x) + x3(-2 + x)) = 0 5x(1024 + -512x + (-640x + 320x2) + -34x2 * (-2 + x) + x3(-2 + x)) = 0 5x(1024 + -512x + -640x + 320x2 + (-2 * -34x2 + x * -34x2) + x3(-2 + x)) = 0 5x(1024 + -512x + -640x + 320x2 + (68x2 + -34x3) + x3(-2 + x)) = 0 5x(1024 + -512x + -640x + 320x2 + 68x2 + -34x3 + (-2 * x3 + x * x3)) = 0 5x(1024 + -512x + -640x + 320x2 + 68x2 + -34x3 + (-2x3 + x4)) = 0 Combine like terms: -512x + -640x = -1152x 5x(1024 + -1152x + 320x2 + 68x2 + -34x3 + -2x3 + x4) = 0 Combine like terms: 320x2 + 68x2 = 388x2 5x(1024 + -1152x + 388x2 + -34x3 + -2x3 + x4) = 0 Combine like terms: -34x3 + -2x3 = -36x3 5x(1024 + -1152x + 388x2 + -36x3 + x4) = 0 (1024 * 5x + -1152x * 5x + 388x2 * 5x + -36x3 * 5x + x4 * 5x) = 0 (5120x + -5760x2 + 1940x3 + -180x4 + 5x5) = 0 Solving 5120x + -5760x2 + 1940x3 + -180x4 + 5x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(1024 + -1152x + 388x2 + -36x3 + x4) = 0 Ignore the factor 5.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 '(1024 + -1152x + 388x2 + -36x3 + x4)' equal to zero and attempt to solve: Simplifying 1024 + -1152x + 388x2 + -36x3 + x4 = 0 Solving 1024 + -1152x + 388x2 + -36x3 + x4 = 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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