(5x-1)(x+2)=8x-4

Solution for (5x-1)(x+2)=8x-4 equation:

Simplifying
(5x + -1)(x + 2) = 8x + -4

Reorder the terms:
(-1 + 5x)(x + 2) = 8x + -4

Reorder the terms:
(-1 + 5x)(2 + x) = 8x + -4

Multiply (-1 + 5x) * (2 + x)
(-1(2 + x) + 5x * (2 + x)) = 8x + -4
((2 * -1 + x * -1) + 5x * (2 + x)) = 8x + -4
((-2 + -1x) + 5x * (2 + x)) = 8x + -4
(-2 + -1x + (2 * 5x + x * 5x)) = 8x + -4
(-2 + -1x + (10x + 5x2)) = 8x + -4

Combine like terms: -1x + 10x = 9x
(-2 + 9x + 5x2) = 8x + -4

Reorder the terms:
-2 + 9x + 5x2 = -4 + 8x

Solving
-2 + 9x + 5x2 = -4 + 8x

Solving for variable 'x'.

Reorder the terms:
-2 + 4 + 9x + -8x + 5x2 = -4 + 8x + 4 + -8x

Combine like terms: -2 + 4 = 2
2 + 9x + -8x + 5x2 = -4 + 8x + 4 + -8x

Combine like terms: 9x + -8x = 1x
2 + 1x + 5x2 = -4 + 8x + 4 + -8x

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

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

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

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

Divide each side by '5'.
0.4 + 0.2x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.2x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.2x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.2x + x2 = 0 + -0.4
0.2x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.2x + x2 = -0.4

The x term is 0.2x.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2x + 0.01 + x2 = -0.4 + 0.01

Reorder the terms:
0.01 + 0.2x + x2 = -0.4 + 0.01

Combine like terms: -0.4 + 0.01 = -0.39
0.01 + 0.2x + x2 = -0.39

Factor a perfect square on the left side:
(x + 0.1)(x + 0.1) = -0.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.