(7y-9x)(7y+9x)=0

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Solution for (7y-9x)(7y+9x)=0 equation: 


Simplifying
(7y + -9x)(7y + 9x) = 0

Reorder the terms:
(-9x + 7y)(7y + 9x) = 0

Reorder the terms:
(-9x + 7y)(9x + 7y) = 0

Multiply (-9x + 7y) * (9x + 7y)
(-9x * (9x + 7y) + 7y * (9x + 7y)) = 0
((9x * -9x + 7y * -9x) + 7y * (9x + 7y)) = 0

Reorder the terms:
((-63xy + -81x2) + 7y * (9x + 7y)) = 0
((-63xy + -81x2) + 7y * (9x + 7y)) = 0
(-63xy + -81x2 + (9x * 7y + 7y * 7y)) = 0
(-63xy + -81x2 + (63xy + 49y2)) = 0

Reorder the terms:
(-63xy + 63xy + -81x2 + 49y2) = 0

Combine like terms: -63xy + 63xy = 0
(0 + -81x2 + 49y2) = 0
(-81x2 + 49y2) = 0

Solving
-81x2 + 49y2 = 0

Solving for variable 'x'.

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

Add '-49y2' to each side of the equation.
-81x2 + 49y2 + -49y2 = 0 + -49y2

Combine like terms: 49y2 + -49y2 = 0
-81x2 + 0 = 0 + -49y2
-81x2 = 0 + -49y2
Remove the zero:
-81x2 = -49y2

Divide each side by '-81'.
x2 = 0.6049382716y2

Simplifying
x2 = 0.6049382716y2

Take the square root of each side:
x = {-0.777777778y, 0.777777778y}

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