(9x+12y)(9x-12y)=

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Solution for (9x+12y)(9x-12y)= equation: 


Simplifying
(9x + 12y)(9x + -12y) = 0

Multiply (9x + 12y) * (9x + -12y)
(9x * (9x + -12y) + 12y * (9x + -12y)) = 0
((9x * 9x + -12y * 9x) + 12y * (9x + -12y)) = 0

Reorder the terms:
((-108xy + 81x2) + 12y * (9x + -12y)) = 0
((-108xy + 81x2) + 12y * (9x + -12y)) = 0
(-108xy + 81x2 + (9x * 12y + -12y * 12y)) = 0
(-108xy + 81x2 + (108xy + -144y2)) = 0

Reorder the terms:
(-108xy + 108xy + 81x2 + -144y2) = 0

Combine like terms: -108xy + 108xy = 0
(0 + 81x2 + -144y2) = 0
(81x2 + -144y2) = 0

Solving
81x2 + -144y2 = 0

Solving for variable 'x'.

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

Add '144y2' to each side of the equation.
81x2 + -144y2 + 144y2 = 0 + 144y2

Combine like terms: -144y2 + 144y2 = 0
81x2 + 0 = 0 + 144y2
81x2 = 0 + 144y2
Remove the zero:
81x2 = 144y2

Divide each side by '81'.
x2 = 1.777777778y2

Simplifying
x2 = 1.777777778y2

Take the square root of each side:
x = {-1.333333333y, 1.333333333y}

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