(9y-4x)(9y+4x)=

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Solution for (9y-4x)(9y+4x)= equation: 


Simplifying
(9y + -4x)(9y + 4x) = 0

Reorder the terms:
(-4x + 9y)(9y + 4x) = 0

Reorder the terms:
(-4x + 9y)(4x + 9y) = 0

Multiply (-4x + 9y) * (4x + 9y)
(-4x * (4x + 9y) + 9y * (4x + 9y)) = 0
((4x * -4x + 9y * -4x) + 9y * (4x + 9y)) = 0

Reorder the terms:
((-36xy + -16x2) + 9y * (4x + 9y)) = 0
((-36xy + -16x2) + 9y * (4x + 9y)) = 0
(-36xy + -16x2 + (4x * 9y + 9y * 9y)) = 0
(-36xy + -16x2 + (36xy + 81y2)) = 0

Reorder the terms:
(-36xy + 36xy + -16x2 + 81y2) = 0

Combine like terms: -36xy + 36xy = 0
(0 + -16x2 + 81y2) = 0
(-16x2 + 81y2) = 0

Solving
-16x2 + 81y2 = 0

Solving for variable 'x'.

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

Add '-81y2' to each side of the equation.
-16x2 + 81y2 + -81y2 = 0 + -81y2

Combine like terms: 81y2 + -81y2 = 0
-16x2 + 0 = 0 + -81y2
-16x2 = 0 + -81y2
Remove the zero:
-16x2 = -81y2

Divide each side by '-16'.
x2 = 5.0625y2

Simplifying
x2 = 5.0625y2

Take the square root of each side:
x = {-2.25y, 2.25y}

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