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Simplifying x(x + 1)(4x + 1) = 1 Reorder the terms: x(1 + x)(4x + 1) = 1 Reorder the terms: x(1 + x)(1 + 4x) = 1 Multiply (1 + x) * (1 + 4x) x(1(1 + 4x) + x(1 + 4x)) = 1 x((1 * 1 + 4x * 1) + x(1 + 4x)) = 1 x((1 + 4x) + x(1 + 4x)) = 1 x(1 + 4x + (1 * x + 4x * x)) = 1 x(1 + 4x + (1x + 4x2)) = 1 Combine like terms: 4x + 1x = 5x x(1 + 5x + 4x2) = 1 (1 * x + 5x * x + 4x2 * x) = 1 (1x + 5x2 + 4x3) = 1 Solving 1x + 5x2 + 4x3 = 1 Solving for variable 'x'. Reorder the terms: -1 + 1x + 5x2 + 4x3 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 1x + 5x2 + 4x3 = 0 The solution to this equation could not be determined.
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