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Simplifying (6x + -1)(12x + -1)(2x + -1)(4x + -1) = 5 Reorder the terms: (-1 + 6x)(12x + -1)(2x + -1)(4x + -1) = 5 Reorder the terms: (-1 + 6x)(-1 + 12x)(2x + -1)(4x + -1) = 5 Reorder the terms: (-1 + 6x)(-1 + 12x)(-1 + 2x)(4x + -1) = 5 Reorder the terms: (-1 + 6x)(-1 + 12x)(-1 + 2x)(-1 + 4x) = 5 Multiply (-1 + 6x) * (-1 + 12x) (-1(-1 + 12x) + 6x * (-1 + 12x))(-1 + 2x)(-1 + 4x) = 5 ((-1 * -1 + 12x * -1) + 6x * (-1 + 12x))(-1 + 2x)(-1 + 4x) = 5 ((1 + -12x) + 6x * (-1 + 12x))(-1 + 2x)(-1 + 4x) = 5 (1 + -12x + (-1 * 6x + 12x * 6x))(-1 + 2x)(-1 + 4x) = 5 (1 + -12x + (-6x + 72x2))(-1 + 2x)(-1 + 4x) = 5 Combine like terms: -12x + -6x = -18x (1 + -18x + 72x2)(-1 + 2x)(-1 + 4x) = 5 Multiply (1 + -18x + 72x2) * (-1 + 2x) (1(-1 + 2x) + -18x * (-1 + 2x) + 72x2 * (-1 + 2x))(-1 + 4x) = 5 ((-1 * 1 + 2x * 1) + -18x * (-1 + 2x) + 72x2 * (-1 + 2x))(-1 + 4x) = 5 ((-1 + 2x) + -18x * (-1 + 2x) + 72x2 * (-1 + 2x))(-1 + 4x) = 5 (-1 + 2x + (-1 * -18x + 2x * -18x) + 72x2 * (-1 + 2x))(-1 + 4x) = 5 (-1 + 2x + (18x + -36x2) + 72x2 * (-1 + 2x))(-1 + 4x) = 5 (-1 + 2x + 18x + -36x2 + (-1 * 72x2 + 2x * 72x2))(-1 + 4x) = 5 (-1 + 2x + 18x + -36x2 + (-72x2 + 144x3))(-1 + 4x) = 5 Combine like terms: 2x + 18x = 20x (-1 + 20x + -36x2 + -72x2 + 144x3)(-1 + 4x) = 5 Combine like terms: -36x2 + -72x2 = -108x2 (-1 + 20x + -108x2 + 144x3)(-1 + 4x) = 5 Multiply (-1 + 20x + -108x2 + 144x3) * (-1 + 4x) (-1(-1 + 4x) + 20x * (-1 + 4x) + -108x2 * (-1 + 4x) + 144x3 * (-1 + 4x)) = 5 ((-1 * -1 + 4x * -1) + 20x * (-1 + 4x) + -108x2 * (-1 + 4x) + 144x3 * (-1 + 4x)) = 5 ((1 + -4x) + 20x * (-1 + 4x) + -108x2 * (-1 + 4x) + 144x3 * (-1 + 4x)) = 5 (1 + -4x + (-1 * 20x + 4x * 20x) + -108x2 * (-1 + 4x) + 144x3 * (-1 + 4x)) = 5 (1 + -4x + (-20x + 80x2) + -108x2 * (-1 + 4x) + 144x3 * (-1 + 4x)) = 5 (1 + -4x + -20x + 80x2 + (-1 * -108x2 + 4x * -108x2) + 144x3 * (-1 + 4x)) = 5 (1 + -4x + -20x + 80x2 + (108x2 + -432x3) + 144x3 * (-1 + 4x)) = 5 (1 + -4x + -20x + 80x2 + 108x2 + -432x3 + (-1 * 144x3 + 4x * 144x3)) = 5 (1 + -4x + -20x + 80x2 + 108x2 + -432x3 + (-144x3 + 576x4)) = 5 Combine like terms: -4x + -20x = -24x (1 + -24x + 80x2 + 108x2 + -432x3 + -144x3 + 576x4) = 5 Combine like terms: 80x2 + 108x2 = 188x2 (1 + -24x + 188x2 + -432x3 + -144x3 + 576x4) = 5 Combine like terms: -432x3 + -144x3 = -576x3 (1 + -24x + 188x2 + -576x3 + 576x4) = 5 Solving 1 + -24x + 188x2 + -576x3 + 576x4 = 5 Solving for variable 'x'. Reorder the terms: 1 + -5 + -24x + 188x2 + -576x3 + 576x4 = 5 + -5 Combine like terms: 1 + -5 = -4 -4 + -24x + 188x2 + -576x3 + 576x4 = 5 + -5 Combine like terms: 5 + -5 = 0 -4 + -24x + 188x2 + -576x3 + 576x4 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -6x + 47x2 + -144x3 + 144x4) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -6x + 47x2 + -144x3 + 144x4)' equal to zero and attempt to solve: Simplifying -1 + -6x + 47x2 + -144x3 + 144x4 = 0 Solving -1 + -6x + 47x2 + -144x3 + 144x4 = 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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