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Simplifying 0 = (3x + 1)(4x2 + -2x + 1) Reorder the terms: 0 = (1 + 3x)(4x2 + -2x + 1) Reorder the terms: 0 = (1 + 3x)(1 + -2x + 4x2) Multiply (1 + 3x) * (1 + -2x + 4x2) 0 = (1(1 + -2x + 4x2) + 3x * (1 + -2x + 4x2)) 0 = ((1 * 1 + -2x * 1 + 4x2 * 1) + 3x * (1 + -2x + 4x2)) 0 = ((1 + -2x + 4x2) + 3x * (1 + -2x + 4x2)) 0 = (1 + -2x + 4x2 + (1 * 3x + -2x * 3x + 4x2 * 3x)) 0 = (1 + -2x + 4x2 + (3x + -6x2 + 12x3)) Reorder the terms: 0 = (1 + -2x + 3x + 4x2 + -6x2 + 12x3) Combine like terms: -2x + 3x = 1x 0 = (1 + 1x + 4x2 + -6x2 + 12x3) Combine like terms: 4x2 + -6x2 = -2x2 0 = (1 + 1x + -2x2 + 12x3) Solving 0 = 1 + 1x + -2x2 + 12x3 Solving for variable 'x'. Combine like terms: 0 + -1 = -1 -1 + -1x + 2x2 + -12x3 = 1 + 1x + -2x2 + 12x3 + -1 + -1x + 2x2 + -12x3 Reorder the terms: -1 + -1x + 2x2 + -12x3 = 1 + -1 + 1x + -1x + -2x2 + 2x2 + 12x3 + -12x3 Combine like terms: 1 + -1 = 0 -1 + -1x + 2x2 + -12x3 = 0 + 1x + -1x + -2x2 + 2x2 + 12x3 + -12x3 -1 + -1x + 2x2 + -12x3 = 1x + -1x + -2x2 + 2x2 + 12x3 + -12x3 Combine like terms: 1x + -1x = 0 -1 + -1x + 2x2 + -12x3 = 0 + -2x2 + 2x2 + 12x3 + -12x3 -1 + -1x + 2x2 + -12x3 = -2x2 + 2x2 + 12x3 + -12x3 Combine like terms: -2x2 + 2x2 = 0 -1 + -1x + 2x2 + -12x3 = 0 + 12x3 + -12x3 -1 + -1x + 2x2 + -12x3 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 -1 + -1x + 2x2 + -12x3 = 0 The solution to this equation could not be determined.
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