2(4x-1)(x+1)=(4x+1)(x-1)-7

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Solution for 2(4x-1)(x+1)=(4x+1)(x-1)-7 equation: 


Simplifying
2(4x + -1)(x + 1) = (4x + 1)(x + -1) + -7

Reorder the terms:
2(-1 + 4x)(x + 1) = (4x + 1)(x + -1) + -7

Reorder the terms:
2(-1 + 4x)(1 + x) = (4x + 1)(x + -1) + -7

Multiply (-1 + 4x) * (1 + x)
2(-1(1 + x) + 4x * (1 + x)) = (4x + 1)(x + -1) + -7
2((1 * -1 + x * -1) + 4x * (1 + x)) = (4x + 1)(x + -1) + -7
2((-1 + -1x) + 4x * (1 + x)) = (4x + 1)(x + -1) + -7
2(-1 + -1x + (1 * 4x + x * 4x)) = (4x + 1)(x + -1) + -7
2(-1 + -1x + (4x + 4x2)) = (4x + 1)(x + -1) + -7

Combine like terms: -1x + 4x = 3x
2(-1 + 3x + 4x2) = (4x + 1)(x + -1) + -7
(-1 * 2 + 3x * 2 + 4x2 * 2) = (4x + 1)(x + -1) + -7
(-2 + 6x + 8x2) = (4x + 1)(x + -1) + -7

Reorder the terms:
-2 + 6x + 8x2 = (1 + 4x)(x + -1) + -7

Reorder the terms:
-2 + 6x + 8x2 = (1 + 4x)(-1 + x) + -7

Multiply (1 + 4x) * (-1 + x)
-2 + 6x + 8x2 = (1(-1 + x) + 4x * (-1 + x)) + -7
-2 + 6x + 8x2 = ((-1 * 1 + x * 1) + 4x * (-1 + x)) + -7
-2 + 6x + 8x2 = ((-1 + 1x) + 4x * (-1 + x)) + -7
-2 + 6x + 8x2 = (-1 + 1x + (-1 * 4x + x * 4x)) + -7
-2 + 6x + 8x2 = (-1 + 1x + (-4x + 4x2)) + -7

Combine like terms: 1x + -4x = -3x
-2 + 6x + 8x2 = (-1 + -3x + 4x2) + -7

Reorder the terms:
-2 + 6x + 8x2 = -1 + -7 + -3x + 4x2

Combine like terms: -1 + -7 = -8
-2 + 6x + 8x2 = -8 + -3x + 4x2

Solving
-2 + 6x + 8x2 = -8 + -3x + 4x2

Solving for variable 'x'.

Reorder the terms:
-2 + 8 + 6x + 3x + 8x2 + -4x2 = -8 + -3x + 4x2 + 8 + 3x + -4x2

Combine like terms: -2 + 8 = 6
6 + 6x + 3x + 8x2 + -4x2 = -8 + -3x + 4x2 + 8 + 3x + -4x2

Combine like terms: 6x + 3x = 9x
6 + 9x + 8x2 + -4x2 = -8 + -3x + 4x2 + 8 + 3x + -4x2

Combine like terms: 8x2 + -4x2 = 4x2
6 + 9x + 4x2 = -8 + -3x + 4x2 + 8 + 3x + -4x2

Reorder the terms:
6 + 9x + 4x2 = -8 + 8 + -3x + 3x + 4x2 + -4x2

Combine like terms: -8 + 8 = 0
6 + 9x + 4x2 = 0 + -3x + 3x + 4x2 + -4x2
6 + 9x + 4x2 = -3x + 3x + 4x2 + -4x2

Combine like terms: -3x + 3x = 0
6 + 9x + 4x2 = 0 + 4x2 + -4x2
6 + 9x + 4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
6 + 9x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.5 + 2.25x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 2.25x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 2.25x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2.25x + x2 = 0 + -1.5
2.25x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
2.25x + x2 = -1.5

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = -1.5 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = -1.5 + 1.265625

Combine like terms: -1.5 + 1.265625 = -0.234375
1.265625 + 2.25x + x2 = -0.234375

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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