5x^2=8x-6

Solution for 5x^2=8x-6 equation:

Simplifying
5x2 = 8x + -6

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

Solving
5x2 = -6 + 8x

Solving for variable 'x'.

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

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

Combine like terms: -6 + 6 = 0
6 + -8x + 5x2 = 0 + 8x + -8x
6 + -8x + 5x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -8x + 5x2 = 0

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

Divide each side by '5'.
1.2 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1.6x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1.6x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.6x + x2 = 0 + -1.2
-1.6x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.6x + x2 = -1.2

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -1.2 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -1.2 + 0.64

Combine like terms: -1.2 + 0.64 = -0.56
0.64 + -1.6x + x2 = -0.56

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -0.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.