2x-4x(x-1)=10

Solution for 2x-4x(x-1)=10 equation:

Simplifying
2x + -4x(x + -1) = 10

Reorder the terms:
2x + -4x(-1 + x) = 10
2x + (-1 * -4x + x * -4x) = 10
2x + (4x + -4x2) = 10

Combine like terms: 2x + 4x = 6x
6x + -4x2 = 10

Solving
6x + -4x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 6x + -4x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 6x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 3x + -2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + 3x + -2x2)' equal to zero and attempt to solve:

Simplifying
-5 + 3x + -2x2 = 0

Solving
-5 + 3x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
2.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.5x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.5x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.5x + x2 = 0 + -2.5
-1.5x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.5x + x2 = -2.5

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -2.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -2.5 + 0.5625

Combine like terms: -2.5 + 0.5625 = -1.9375
0.5625 + -1.5x + x2 = -1.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.