5x-6=4(x-1)x

Solution for 5x-6=4(x-1)x equation:

Simplifying
5x + -6 = 4(x + -1) * x

Reorder the terms:
-6 + 5x = 4(x + -1) * x

Reorder the terms:
-6 + 5x = 4(-1 + x) * x

Reorder the terms for easier multiplication:
-6 + 5x = 4x(-1 + x)
-6 + 5x = (-1 * 4x + x * 4x)
-6 + 5x = (-4x + 4x2)

Solving
-6 + 5x = -4x + 4x2

Solving for variable 'x'.

Combine like terms: 5x + 4x = 9x
-6 + 9x + -4x2 = -4x + 4x2 + 4x + -4x2

Reorder the terms:
-6 + 9x + -4x2 = -4x + 4x + 4x2 + -4x2

Combine like terms: -4x + 4x = 0
-6 + 9x + -4x2 = 0 + 4x2 + -4x2
-6 + 9x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6 + 9x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.5 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2.25x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2.25x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2.25x + x2 = 0 + -1.5
-2.25x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2.25x + x2 = -1.5

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -1.5 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -1.5 + 1.265625

Combine like terms: -1.5 + 1.265625 = -0.234375
1.265625 + -2.25x + x2 = -0.234375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.