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Simplifying 10(2x + -1)(2x + -1)(2x + -1)(2x + -1) = 0 Reorder the terms: 10(-1 + 2x)(2x + -1)(2x + -1)(2x + -1) = 0 Reorder the terms: 10(-1 + 2x)(-1 + 2x)(2x + -1)(2x + -1) = 0 Reorder the terms: 10(-1 + 2x)(-1 + 2x)(-1 + 2x)(2x + -1) = 0 Reorder the terms: 10(-1 + 2x)(-1 + 2x)(-1 + 2x)(-1 + 2x) = 0 Multiply (-1 + 2x) * (-1 + 2x) 10(-1(-1 + 2x) + 2x * (-1 + 2x))(-1 + 2x)(-1 + 2x) = 0 10((-1 * -1 + 2x * -1) + 2x * (-1 + 2x))(-1 + 2x)(-1 + 2x) = 0 10((1 + -2x) + 2x * (-1 + 2x))(-1 + 2x)(-1 + 2x) = 0 10(1 + -2x + (-1 * 2x + 2x * 2x))(-1 + 2x)(-1 + 2x) = 0 10(1 + -2x + (-2x + 4x2))(-1 + 2x)(-1 + 2x) = 0 Combine like terms: -2x + -2x = -4x 10(1 + -4x + 4x2)(-1 + 2x)(-1 + 2x) = 0 Multiply (1 + -4x + 4x2) * (-1 + 2x) 10(1(-1 + 2x) + -4x * (-1 + 2x) + 4x2 * (-1 + 2x))(-1 + 2x) = 0 10((-1 * 1 + 2x * 1) + -4x * (-1 + 2x) + 4x2 * (-1 + 2x))(-1 + 2x) = 0 10((-1 + 2x) + -4x * (-1 + 2x) + 4x2 * (-1 + 2x))(-1 + 2x) = 0 10(-1 + 2x + (-1 * -4x + 2x * -4x) + 4x2 * (-1 + 2x))(-1 + 2x) = 0 10(-1 + 2x + (4x + -8x2) + 4x2 * (-1 + 2x))(-1 + 2x) = 0 10(-1 + 2x + 4x + -8x2 + (-1 * 4x2 + 2x * 4x2))(-1 + 2x) = 0 10(-1 + 2x + 4x + -8x2 + (-4x2 + 8x3))(-1 + 2x) = 0 Combine like terms: 2x + 4x = 6x 10(-1 + 6x + -8x2 + -4x2 + 8x3)(-1 + 2x) = 0 Combine like terms: -8x2 + -4x2 = -12x2 10(-1 + 6x + -12x2 + 8x3)(-1 + 2x) = 0 Multiply (-1 + 6x + -12x2 + 8x3) * (-1 + 2x) 10(-1(-1 + 2x) + 6x * (-1 + 2x) + -12x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 10((-1 * -1 + 2x * -1) + 6x * (-1 + 2x) + -12x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 10((1 + -2x) + 6x * (-1 + 2x) + -12x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 10(1 + -2x + (-1 * 6x + 2x * 6x) + -12x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 10(1 + -2x + (-6x + 12x2) + -12x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 10(1 + -2x + -6x + 12x2 + (-1 * -12x2 + 2x * -12x2) + 8x3 * (-1 + 2x)) = 0 10(1 + -2x + -6x + 12x2 + (12x2 + -24x3) + 8x3 * (-1 + 2x)) = 0 10(1 + -2x + -6x + 12x2 + 12x2 + -24x3 + (-1 * 8x3 + 2x * 8x3)) = 0 10(1 + -2x + -6x + 12x2 + 12x2 + -24x3 + (-8x3 + 16x4)) = 0 Combine like terms: -2x + -6x = -8x 10(1 + -8x + 12x2 + 12x2 + -24x3 + -8x3 + 16x4) = 0 Combine like terms: 12x2 + 12x2 = 24x2 10(1 + -8x + 24x2 + -24x3 + -8x3 + 16x4) = 0 Combine like terms: -24x3 + -8x3 = -32x3 10(1 + -8x + 24x2 + -32x3 + 16x4) = 0 (1 * 10 + -8x * 10 + 24x2 * 10 + -32x3 * 10 + 16x4 * 10) = 0 (10 + -80x + 240x2 + -320x3 + 160x4) = 0 Solving 10 + -80x + 240x2 + -320x3 + 160x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(1 + -8x + 24x2 + -32x3 + 16x4) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(1 + -8x + 24x2 + -32x3 + 16x4)' equal to zero and attempt to solve: Simplifying 1 + -8x + 24x2 + -32x3 + 16x4 = 0 Solving 1 + -8x + 24x2 + -32x3 + 16x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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