(18x-24y)(18x-24y)=

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Solution for (18x-24y)(18x-24y)= equation: 


Simplifying
(18x + -24y)(18x + -24y) = 0

Multiply (18x + -24y) * (18x + -24y)
(18x * (18x + -24y) + -24y * (18x + -24y)) = 0
((18x * 18x + -24y * 18x) + -24y * (18x + -24y)) = 0

Reorder the terms:
((-432xy + 324x2) + -24y * (18x + -24y)) = 0
((-432xy + 324x2) + -24y * (18x + -24y)) = 0
(-432xy + 324x2 + (18x * -24y + -24y * -24y)) = 0
(-432xy + 324x2 + (-432xy + 576y2)) = 0

Reorder the terms:
(-432xy + -432xy + 324x2 + 576y2) = 0

Combine like terms: -432xy + -432xy = -864xy
(-864xy + 324x2 + 576y2) = 0

Solving
-864xy + 324x2 + 576y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '36'.
36(-24xy + 9x2 + 16y2) = 0

Factor a trinomial.
36((3x + -4y)(3x + -4y)) = 0

Ignore the factor 36.

Subproblem 1
Set the factor '(3x + -4y)' equal to zero and attempt to solve:

Simplifying
3x + -4y = 0

Solving
3x + -4y = 0

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

Add '4y' to each side of the equation.
3x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 0 + 4y
3x = 0 + 4y
Remove the zero:
3x = 4y

Divide each side by '3'.
x = 1.333333333y

Simplifying
x = 1.333333333y

Subproblem 2
Set the factor '(3x + -4y)' equal to zero and attempt to solve:

Simplifying
3x + -4y = 0

Solving
3x + -4y = 0

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

Add '4y' to each side of the equation.
3x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 0 + 4y
3x = 0 + 4y
Remove the zero:
3x = 4y

Divide each side by '3'.
x = 1.333333333y

Simplifying
x = 1.333333333y
Solution
x = {1.333333333y, 1.333333333y}

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