2x(x-5y+6)-4xy=

Solution for 2x(x-5y+6)-4xy= equation:

Simplifying
2x(x + -5y + 6) + -4xy = 0

Reorder the terms:
2x(6 + x + -5y) + -4xy = 0
(6 * 2x + x * 2x + -5y * 2x) + -4xy = 0

Reorder the terms:
(12x + -10xy + 2x2) + -4xy = 0
(12x + -10xy + 2x2) + -4xy = 0

Reorder the terms:
12x + -10xy + -4xy + 2x2 = 0

Combine like terms: -10xy + -4xy = -14xy
12x + -14xy + 2x2 = 0

Solving
12x + -14xy + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(6 + -7y + x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(6 + -7y + x)' equal to zero and attempt to solve:

Simplifying
6 + -7y + x = 0

Reorder the terms:
6 + x + -7y = 0

Solving
6 + x + -7y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + x + -6 + -7y = 0 + -6

Reorder the terms:
6 + -6 + x + -7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x + -7y = 0 + -6
x + -7y = 0 + -6

Combine like terms: 0 + -6 = -6
x + -7y = -6

Add '7y' to each side of the equation.
x + -7y + 7y = -6 + 7y

Combine like terms: -7y + 7y = 0
x + 0 = -6 + 7y
x = -6 + 7y

Simplifying
x = -6 + 7y
Solution
x = {0, -6 + 7y}