(x-1)(x+5)(4x+1)=0

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Solution for (x-1)(x+5)(4x+1)=0 equation:


Simplifying
(x + -1)(x + 5)(4x + 1) = 0

Reorder the terms:
(-1 + x)(x + 5)(4x + 1) = 0

Reorder the terms:
(-1 + x)(5 + x)(4x + 1) = 0

Reorder the terms:
(-1 + x)(5 + x)(1 + 4x) = 0

Multiply (-1 + x) * (5 + x)
(-1(5 + x) + x(5 + x))(1 + 4x) = 0
((5 * -1 + x * -1) + x(5 + x))(1 + 4x) = 0
((-5 + -1x) + x(5 + x))(1 + 4x) = 0
(-5 + -1x + (5 * x + x * x))(1 + 4x) = 0
(-5 + -1x + (5x + x2))(1 + 4x) = 0

Combine like terms: -1x + 5x = 4x
(-5 + 4x + x2)(1 + 4x) = 0

Multiply (-5 + 4x + x2) * (1 + 4x)
(-5(1 + 4x) + 4x * (1 + 4x) + x2(1 + 4x)) = 0
((1 * -5 + 4x * -5) + 4x * (1 + 4x) + x2(1 + 4x)) = 0
((-5 + -20x) + 4x * (1 + 4x) + x2(1 + 4x)) = 0
(-5 + -20x + (1 * 4x + 4x * 4x) + x2(1 + 4x)) = 0
(-5 + -20x + (4x + 16x2) + x2(1 + 4x)) = 0
(-5 + -20x + 4x + 16x2 + (1 * x2 + 4x * x2)) = 0
(-5 + -20x + 4x + 16x2 + (1x2 + 4x3)) = 0

Combine like terms: -20x + 4x = -16x
(-5 + -16x + 16x2 + 1x2 + 4x3) = 0

Combine like terms: 16x2 + 1x2 = 17x2
(-5 + -16x + 17x2 + 4x3) = 0

Solving
-5 + -16x + 17x2 + 4x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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