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

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


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

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

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

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

Combine like terms: -2x + 12x = 10x
(-3 + 10x + 8x2) = 8x + -4

Reorder the terms:
-3 + 10x + 8x2 = -4 + 8x

Solving
-3 + 10x + 8x2 = -4 + 8x

Solving for variable 'x'.

Reorder the terms:
-3 + 4 + 10x + -8x + 8x2 = -4 + 8x + 4 + -8x

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

Combine like terms: 10x + -8x = 2x
1 + 2x + 8x2 = -4 + 8x + 4 + -8x

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

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

Combine like terms: 8x + -8x = 0
1 + 2x + 8x2 = 0

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

Divide each side by '8'.
0.125 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + 0.25x + -0.125 + x2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + 0.25x + x2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + 0.25x + x2 = 0 + -0.125
0.25x + x2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
0.25x + x2 = -0.125

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.125 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.125 + 0.015625

Combine like terms: -0.125 + 0.015625 = -0.109375
0.015625 + 0.25x + x2 = -0.109375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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