5x*(x-1)+3=3*(x-1)

Solution for 5x*(x-1)+3=3*(x-1) equation:

Simplifying
5x(x + -1) + 3 = 3(x + -1)

Reorder the terms:
5x(-1 + x) + 3 = 3(x + -1)
(-1 * 5x + x * 5x) + 3 = 3(x + -1)
(-5x + 5x2) + 3 = 3(x + -1)

Reorder the terms:
3 + -5x + 5x2 = 3(x + -1)

Reorder the terms:
3 + -5x + 5x2 = 3(-1 + x)
3 + -5x + 5x2 = (-1 * 3 + x * 3)
3 + -5x + 5x2 = (-3 + 3x)

Solving
3 + -5x + 5x2 = -3 + 3x

Solving for variable 'x'.

Reorder the terms:
3 + 3 + -5x + -3x + 5x2 = -3 + 3x + 3 + -3x

Combine like terms: 3 + 3 = 6
6 + -5x + -3x + 5x2 = -3 + 3x + 3 + -3x

Combine like terms: -5x + -3x = -8x
6 + -8x + 5x2 = -3 + 3x + 3 + -3x

Reorder the terms:
6 + -8x + 5x2 = -3 + 3 + 3x + -3x

Combine like terms: -3 + 3 = 0
6 + -8x + 5x2 = 0 + 3x + -3x
6 + -8x + 5x2 = 3x + -3x

Combine like terms: 3x + -3x = 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.