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

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


Simplifying
2x(4x2 + -1) = x2 + 3x + 1

Reorder the terms:
2x(-1 + 4x2) = x2 + 3x + 1
(-1 * 2x + 4x2 * 2x) = x2 + 3x + 1
(-2x + 8x3) = x2 + 3x + 1

Reorder the terms:
-2x + 8x3 = 1 + 3x + x2

Solving
-2x + 8x3 = 1 + 3x + x2

Solving for variable 'x'.

Reorder the terms:
-1 + -2x + -3x + -1x2 + 8x3 = 1 + 3x + x2 + -1 + -3x + -1x2

Combine like terms: -2x + -3x = -5x
-1 + -5x + -1x2 + 8x3 = 1 + 3x + x2 + -1 + -3x + -1x2

Reorder the terms:
-1 + -5x + -1x2 + 8x3 = 1 + -1 + 3x + -3x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + -5x + -1x2 + 8x3 = 0 + 3x + -3x + x2 + -1x2
-1 + -5x + -1x2 + 8x3 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-1 + -5x + -1x2 + 8x3 = 0 + x2 + -1x2
-1 + -5x + -1x2 + 8x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -5x + -1x2 + 8x3 = 0

The solution to this equation could not be determined.

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