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Simplifying 16x + -1(4x + -1)(4x + -1)(4x + -3) = 29 Reorder the terms: 16x + -1(-1 + 4x)(4x + -1)(4x + -3) = 29 Reorder the terms: 16x + -1(-1 + 4x)(-1 + 4x)(4x + -3) = 29 Reorder the terms: 16x + -1(-1 + 4x)(-1 + 4x)(-3 + 4x) = 29 Multiply (-1 + 4x) * (-1 + 4x) 16x + -1(-1(-1 + 4x) + 4x * (-1 + 4x))(-3 + 4x) = 29 16x + -1((-1 * -1 + 4x * -1) + 4x * (-1 + 4x))(-3 + 4x) = 29 16x + -1((1 + -4x) + 4x * (-1 + 4x))(-3 + 4x) = 29 16x + -1(1 + -4x + (-1 * 4x + 4x * 4x))(-3 + 4x) = 29 16x + -1(1 + -4x + (-4x + 16x2))(-3 + 4x) = 29 Combine like terms: -4x + -4x = -8x 16x + -1(1 + -8x + 16x2)(-3 + 4x) = 29 Multiply (1 + -8x + 16x2) * (-3 + 4x) 16x + -1(1(-3 + 4x) + -8x * (-3 + 4x) + 16x2 * (-3 + 4x)) = 29 16x + -1((-3 * 1 + 4x * 1) + -8x * (-3 + 4x) + 16x2 * (-3 + 4x)) = 29 16x + -1((-3 + 4x) + -8x * (-3 + 4x) + 16x2 * (-3 + 4x)) = 29 16x + -1(-3 + 4x + (-3 * -8x + 4x * -8x) + 16x2 * (-3 + 4x)) = 29 16x + -1(-3 + 4x + (24x + -32x2) + 16x2 * (-3 + 4x)) = 29 16x + -1(-3 + 4x + 24x + -32x2 + (-3 * 16x2 + 4x * 16x2)) = 29 16x + -1(-3 + 4x + 24x + -32x2 + (-48x2 + 64x3)) = 29 Combine like terms: 4x + 24x = 28x 16x + -1(-3 + 28x + -32x2 + -48x2 + 64x3) = 29 Combine like terms: -32x2 + -48x2 = -80x2 16x + -1(-3 + 28x + -80x2 + 64x3) = 29 16x + (-3 * -1 + 28x * -1 + -80x2 * -1 + 64x3 * -1) = 29 16x + (3 + -28x + 80x2 + -64x3) = 29 Reorder the terms: 3 + 16x + -28x + 80x2 + -64x3 = 29 Combine like terms: 16x + -28x = -12x 3 + -12x + 80x2 + -64x3 = 29 Solving 3 + -12x + 80x2 + -64x3 = 29 Solving for variable 'x'. Reorder the terms: 3 + -29 + -12x + 80x2 + -64x3 = 29 + -29 Combine like terms: 3 + -29 = -26 -26 + -12x + 80x2 + -64x3 = 29 + -29 Combine like terms: 29 + -29 = 0 -26 + -12x + 80x2 + -64x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-13 + -6x + 40x2 + -32x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-13 + -6x + 40x2 + -32x3)' equal to zero and attempt to solve: Simplifying -13 + -6x + 40x2 + -32x3 = 0 Solving -13 + -6x + 40x2 + -32x3 = 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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