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

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


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

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

Reorder the terms:
(24x + -24xy + 4x2) + -5xy = 0
(24x + -24xy + 4x2) + -5xy = 0

Reorder the terms:
24x + -24xy + -5xy + 4x2 = 0

Combine like terms: -24xy + -5xy = -29xy
24x + -29xy + 4x2 = 0

Solving
24x + -29xy + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + -29y + 4x) = 0


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 '(24 + -29y + 4x)' equal to zero and attempt to solve:

Simplifying
24 + -29y + 4x = 0

Reorder the terms:
24 + 4x + -29y = 0

Solving
24 + 4x + -29y = 0

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

Add '-24' to each side of the equation.
24 + 4x + -24 + -29y = 0 + -24

Reorder the terms:
24 + -24 + 4x + -29y = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 4x + -29y = 0 + -24
4x + -29y = 0 + -24

Combine like terms: 0 + -24 = -24
4x + -29y = -24

Add '29y' to each side of the equation.
4x + -29y + 29y = -24 + 29y

Combine like terms: -29y + 29y = 0
4x + 0 = -24 + 29y
4x = -24 + 29y

Divide each side by '4'.
x = -6 + 7.25y

Simplifying
x = -6 + 7.25y
Solution
x = {0, -6 + 7.25y}

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