(4x+1)(2x^2+6x+1)=(4x+1)(x+4)

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Solution for (4x+1)(2x^2+6x+1)=(4x+1)(x+4) equation: 


Simplifying
(4x + 1)(2x2 + 6x + 1) = (4x + 1)(x + 4)

Reorder the terms:
(1 + 4x)(2x2 + 6x + 1) = (4x + 1)(x + 4)

Reorder the terms:
(1 + 4x)(1 + 6x + 2x2) = (4x + 1)(x + 4)

Multiply (1 + 4x) * (1 + 6x + 2x2)
(1(1 + 6x + 2x2) + 4x * (1 + 6x + 2x2)) = (4x + 1)(x + 4)
((1 * 1 + 6x * 1 + 2x2 * 1) + 4x * (1 + 6x + 2x2)) = (4x + 1)(x + 4)
((1 + 6x + 2x2) + 4x * (1 + 6x + 2x2)) = (4x + 1)(x + 4)
(1 + 6x + 2x2 + (1 * 4x + 6x * 4x + 2x2 * 4x)) = (4x + 1)(x + 4)
(1 + 6x + 2x2 + (4x + 24x2 + 8x3)) = (4x + 1)(x + 4)

Reorder the terms:
(1 + 6x + 4x + 2x2 + 24x2 + 8x3) = (4x + 1)(x + 4)

Combine like terms: 6x + 4x = 10x
(1 + 10x + 2x2 + 24x2 + 8x3) = (4x + 1)(x + 4)

Combine like terms: 2x2 + 24x2 = 26x2
(1 + 10x + 26x2 + 8x3) = (4x + 1)(x + 4)

Reorder the terms:
1 + 10x + 26x2 + 8x3 = (1 + 4x)(x + 4)

Reorder the terms:
1 + 10x + 26x2 + 8x3 = (1 + 4x)(4 + x)

Multiply (1 + 4x) * (4 + x)
1 + 10x + 26x2 + 8x3 = (1(4 + x) + 4x * (4 + x))
1 + 10x + 26x2 + 8x3 = ((4 * 1 + x * 1) + 4x * (4 + x))
1 + 10x + 26x2 + 8x3 = ((4 + 1x) + 4x * (4 + x))
1 + 10x + 26x2 + 8x3 = (4 + 1x + (4 * 4x + x * 4x))
1 + 10x + 26x2 + 8x3 = (4 + 1x + (16x + 4x2))

Combine like terms: 1x + 16x = 17x
1 + 10x + 26x2 + 8x3 = (4 + 17x + 4x2)

Solving
1 + 10x + 26x2 + 8x3 = 4 + 17x + 4x2

Solving for variable 'x'.

Reorder the terms:
1 + -4 + 10x + -17x + 26x2 + -4x2 + 8x3 = 4 + 17x + 4x2 + -4 + -17x + -4x2

Combine like terms: 1 + -4 = -3
-3 + 10x + -17x + 26x2 + -4x2 + 8x3 = 4 + 17x + 4x2 + -4 + -17x + -4x2

Combine like terms: 10x + -17x = -7x
-3 + -7x + 26x2 + -4x2 + 8x3 = 4 + 17x + 4x2 + -4 + -17x + -4x2

Combine like terms: 26x2 + -4x2 = 22x2
-3 + -7x + 22x2 + 8x3 = 4 + 17x + 4x2 + -4 + -17x + -4x2

Reorder the terms:
-3 + -7x + 22x2 + 8x3 = 4 + -4 + 17x + -17x + 4x2 + -4x2

Combine like terms: 4 + -4 = 0
-3 + -7x + 22x2 + 8x3 = 0 + 17x + -17x + 4x2 + -4x2
-3 + -7x + 22x2 + 8x3 = 17x + -17x + 4x2 + -4x2

Combine like terms: 17x + -17x = 0
-3 + -7x + 22x2 + 8x3 = 0 + 4x2 + -4x2
-3 + -7x + 22x2 + 8x3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + -7x + 22x2 + 8x3 = 0

The solution to this equation could not be determined.

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