5x^2=3(2x-2)

Solution for 5x^2=3(2x-2) equation:

Simplifying
5x2 = 3(2x + -2)

Reorder the terms:
5x2 = 3(-2 + 2x)
5x2 = (-2 * 3 + 2x * 3)
5x2 = (-6 + 6x)

Solving
5x2 = -6 + 6x

Solving for variable 'x'.

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

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

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

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

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

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

Move the constant term to the right:

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

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

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

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

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -1.2 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -1.2 + 0.36

Combine like terms: -1.2 + 0.36 = -0.84
0.36 + -1.2x + x2 = -0.84

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -0.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.