(2x+3)(4x+1)(2x-1)=180

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Solution for (2x+3)(4x+1)(2x-1)=180 equation:


Simplifying
(2x + 3)(4x + 1)(2x + -1) = 180

Reorder the terms:
(3 + 2x)(4x + 1)(2x + -1) = 180

Reorder the terms:
(3 + 2x)(1 + 4x)(2x + -1) = 180

Reorder the terms:
(3 + 2x)(1 + 4x)(-1 + 2x) = 180

Multiply (3 + 2x) * (1 + 4x)
(3(1 + 4x) + 2x * (1 + 4x))(-1 + 2x) = 180
((1 * 3 + 4x * 3) + 2x * (1 + 4x))(-1 + 2x) = 180
((3 + 12x) + 2x * (1 + 4x))(-1 + 2x) = 180
(3 + 12x + (1 * 2x + 4x * 2x))(-1 + 2x) = 180
(3 + 12x + (2x + 8x2))(-1 + 2x) = 180

Combine like terms: 12x + 2x = 14x
(3 + 14x + 8x2)(-1 + 2x) = 180

Multiply (3 + 14x + 8x2) * (-1 + 2x)
(3(-1 + 2x) + 14x * (-1 + 2x) + 8x2 * (-1 + 2x)) = 180
((-1 * 3 + 2x * 3) + 14x * (-1 + 2x) + 8x2 * (-1 + 2x)) = 180
((-3 + 6x) + 14x * (-1 + 2x) + 8x2 * (-1 + 2x)) = 180
(-3 + 6x + (-1 * 14x + 2x * 14x) + 8x2 * (-1 + 2x)) = 180
(-3 + 6x + (-14x + 28x2) + 8x2 * (-1 + 2x)) = 180
(-3 + 6x + -14x + 28x2 + (-1 * 8x2 + 2x * 8x2)) = 180
(-3 + 6x + -14x + 28x2 + (-8x2 + 16x3)) = 180

Combine like terms: 6x + -14x = -8x
(-3 + -8x + 28x2 + -8x2 + 16x3) = 180

Combine like terms: 28x2 + -8x2 = 20x2
(-3 + -8x + 20x2 + 16x3) = 180

Solving
-3 + -8x + 20x2 + 16x3 = 180

Solving for variable 'x'.

Reorder the terms:
-3 + -180 + -8x + 20x2 + 16x3 = 180 + -180

Combine like terms: -3 + -180 = -183
-183 + -8x + 20x2 + 16x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-183 + -8x + 20x2 + 16x3 = 0

The solution to this equation could not be determined.

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