4x^2(x-1)-(2x+1)(2x+1)=2-5x

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Solution for 4x^2(x-1)-(2x+1)(2x+1)=2-5x equation:


Simplifying
4x2(x + -1) + -1(2x + 1)(2x + 1) = 2 + -5x

Reorder the terms:
4x2(-1 + x) + -1(2x + 1)(2x + 1) = 2 + -5x
(-1 * 4x2 + x * 4x2) + -1(2x + 1)(2x + 1) = 2 + -5x
(-4x2 + 4x3) + -1(2x + 1)(2x + 1) = 2 + -5x

Reorder the terms:
-4x2 + 4x3 + -1(1 + 2x)(2x + 1) = 2 + -5x

Reorder the terms:
-4x2 + 4x3 + -1(1 + 2x)(1 + 2x) = 2 + -5x

Multiply (1 + 2x) * (1 + 2x)
-4x2 + 4x3 + -1(1(1 + 2x) + 2x * (1 + 2x)) = 2 + -5x
-4x2 + 4x3 + -1((1 * 1 + 2x * 1) + 2x * (1 + 2x)) = 2 + -5x
-4x2 + 4x3 + -1((1 + 2x) + 2x * (1 + 2x)) = 2 + -5x
-4x2 + 4x3 + -1(1 + 2x + (1 * 2x + 2x * 2x)) = 2 + -5x
-4x2 + 4x3 + -1(1 + 2x + (2x + 4x2)) = 2 + -5x

Combine like terms: 2x + 2x = 4x
-4x2 + 4x3 + -1(1 + 4x + 4x2) = 2 + -5x
-4x2 + 4x3 + (1 * -1 + 4x * -1 + 4x2 * -1) = 2 + -5x
-4x2 + 4x3 + (-1 + -4x + -4x2) = 2 + -5x

Reorder the terms:
-1 + -4x + -4x2 + -4x2 + 4x3 = 2 + -5x

Combine like terms: -4x2 + -4x2 = -8x2
-1 + -4x + -8x2 + 4x3 = 2 + -5x

Solving
-1 + -4x + -8x2 + 4x3 = 2 + -5x

Solving for variable 'x'.

Reorder the terms:
-1 + -2 + -4x + 5x + -8x2 + 4x3 = 2 + -5x + -2 + 5x

Combine like terms: -1 + -2 = -3
-3 + -4x + 5x + -8x2 + 4x3 = 2 + -5x + -2 + 5x

Combine like terms: -4x + 5x = 1x
-3 + 1x + -8x2 + 4x3 = 2 + -5x + -2 + 5x

Reorder the terms:
-3 + 1x + -8x2 + 4x3 = 2 + -2 + -5x + 5x

Combine like terms: 2 + -2 = 0
-3 + 1x + -8x2 + 4x3 = 0 + -5x + 5x
-3 + 1x + -8x2 + 4x3 = -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 1x + -8x2 + 4x3 = 0

The solution to this equation could not be determined.

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