(2x-1)(x+5)=8x-6

Solution for (2x-1)(x+5)=8x-6 equation:

Simplifying
(2x + -1)(x + 5) = 8x + -6

Reorder the terms:
(-1 + 2x)(x + 5) = 8x + -6

Reorder the terms:
(-1 + 2x)(5 + x) = 8x + -6

Multiply (-1 + 2x) * (5 + x)
(-1(5 + x) + 2x * (5 + x)) = 8x + -6
((5 * -1 + x * -1) + 2x * (5 + x)) = 8x + -6
((-5 + -1x) + 2x * (5 + x)) = 8x + -6
(-5 + -1x + (5 * 2x + x * 2x)) = 8x + -6
(-5 + -1x + (10x + 2x2)) = 8x + -6

Combine like terms: -1x + 10x = 9x
(-5 + 9x + 2x2) = 8x + -6

Reorder the terms:
-5 + 9x + 2x2 = -6 + 8x

Solving
-5 + 9x + 2x2 = -6 + 8x

Solving for variable 'x'.

Reorder the terms:
-5 + 6 + 9x + -8x + 2x2 = -6 + 8x + 6 + -8x

Combine like terms: -5 + 6 = 1
1 + 9x + -8x + 2x2 = -6 + 8x + 6 + -8x

Combine like terms: 9x + -8x = 1x
1 + 1x + 2x2 = -6 + 8x + 6 + -8x

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

Combine like terms: -6 + 6 = 0
1 + 1x + 2x2 = 0 + 8x + -8x
1 + 1x + 2x2 = 8x + -8x

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

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

Divide each side by '2'.
0.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + 0.5x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + 0.5x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.5x + x2 = 0 + -0.5
0.5x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
0.5x + x2 = -0.5

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -0.5 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -0.5 + 0.0625

Combine like terms: -0.5 + 0.0625 = -0.4375
0.0625 + 0.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.