(4x+3)(4x+3)(8x-1)(2x+1)=14x

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Solution for (4x+3)(4x+3)(8x-1)(2x+1)=14x equation: 


Simplifying
(4x + 3)(4x + 3)(8x + -1)(2x + 1) = 14x

Reorder the terms:
(3 + 4x)(4x + 3)(8x + -1)(2x + 1) = 14x

Reorder the terms:
(3 + 4x)(3 + 4x)(8x + -1)(2x + 1) = 14x

Reorder the terms:
(3 + 4x)(3 + 4x)(-1 + 8x)(2x + 1) = 14x

Reorder the terms:
(3 + 4x)(3 + 4x)(-1 + 8x)(1 + 2x) = 14x

Multiply (3 + 4x) * (3 + 4x)
(3(3 + 4x) + 4x * (3 + 4x))(-1 + 8x)(1 + 2x) = 14x
((3 * 3 + 4x * 3) + 4x * (3 + 4x))(-1 + 8x)(1 + 2x) = 14x
((9 + 12x) + 4x * (3 + 4x))(-1 + 8x)(1 + 2x) = 14x
(9 + 12x + (3 * 4x + 4x * 4x))(-1 + 8x)(1 + 2x) = 14x
(9 + 12x + (12x + 16x2))(-1 + 8x)(1 + 2x) = 14x

Combine like terms: 12x + 12x = 24x
(9 + 24x + 16x2)(-1 + 8x)(1 + 2x) = 14x

Multiply (9 + 24x + 16x2) * (-1 + 8x)
(9(-1 + 8x) + 24x * (-1 + 8x) + 16x2 * (-1 + 8x))(1 + 2x) = 14x
((-1 * 9 + 8x * 9) + 24x * (-1 + 8x) + 16x2 * (-1 + 8x))(1 + 2x) = 14x
((-9 + 72x) + 24x * (-1 + 8x) + 16x2 * (-1 + 8x))(1 + 2x) = 14x
(-9 + 72x + (-1 * 24x + 8x * 24x) + 16x2 * (-1 + 8x))(1 + 2x) = 14x
(-9 + 72x + (-24x + 192x2) + 16x2 * (-1 + 8x))(1 + 2x) = 14x
(-9 + 72x + -24x + 192x2 + (-1 * 16x2 + 8x * 16x2))(1 + 2x) = 14x
(-9 + 72x + -24x + 192x2 + (-16x2 + 128x3))(1 + 2x) = 14x

Combine like terms: 72x + -24x = 48x
(-9 + 48x + 192x2 + -16x2 + 128x3)(1 + 2x) = 14x

Combine like terms: 192x2 + -16x2 = 176x2
(-9 + 48x + 176x2 + 128x3)(1 + 2x) = 14x

Multiply (-9 + 48x + 176x2 + 128x3) * (1 + 2x)
(-9(1 + 2x) + 48x * (1 + 2x) + 176x2 * (1 + 2x) + 128x3 * (1 + 2x)) = 14x
((1 * -9 + 2x * -9) + 48x * (1 + 2x) + 176x2 * (1 + 2x) + 128x3 * (1 + 2x)) = 14x
((-9 + -18x) + 48x * (1 + 2x) + 176x2 * (1 + 2x) + 128x3 * (1 + 2x)) = 14x
(-9 + -18x + (1 * 48x + 2x * 48x) + 176x2 * (1 + 2x) + 128x3 * (1 + 2x)) = 14x
(-9 + -18x + (48x + 96x2) + 176x2 * (1 + 2x) + 128x3 * (1 + 2x)) = 14x
(-9 + -18x + 48x + 96x2 + (1 * 176x2 + 2x * 176x2) + 128x3 * (1 + 2x)) = 14x
(-9 + -18x + 48x + 96x2 + (176x2 + 352x3) + 128x3 * (1 + 2x)) = 14x
(-9 + -18x + 48x + 96x2 + 176x2 + 352x3 + (1 * 128x3 + 2x * 128x3)) = 14x
(-9 + -18x + 48x + 96x2 + 176x2 + 352x3 + (128x3 + 256x4)) = 14x

Combine like terms: -18x + 48x = 30x
(-9 + 30x + 96x2 + 176x2 + 352x3 + 128x3 + 256x4) = 14x

Combine like terms: 96x2 + 176x2 = 272x2
(-9 + 30x + 272x2 + 352x3 + 128x3 + 256x4) = 14x

Combine like terms: 352x3 + 128x3 = 480x3
(-9 + 30x + 272x2 + 480x3 + 256x4) = 14x

Solving
-9 + 30x + 272x2 + 480x3 + 256x4 = 14x

Solving for variable 'x'.

Reorder the terms:
-9 + 30x + -14x + 272x2 + 480x3 + 256x4 = 14x + -14x

Combine like terms: 30x + -14x = 16x
-9 + 16x + 272x2 + 480x3 + 256x4 = 14x + -14x

Combine like terms: 14x + -14x = 0
-9 + 16x + 272x2 + 480x3 + 256x4 = 0

The solution to this equation could not be determined.

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