(3x+4y)(3x-4y)=

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Solution for (3x+4y)(3x-4y)= equation: 


Simplifying
(3x + 4y)(3x + -4y) = 0

Multiply (3x + 4y) * (3x + -4y)
(3x * (3x + -4y) + 4y * (3x + -4y)) = 0
((3x * 3x + -4y * 3x) + 4y * (3x + -4y)) = 0

Reorder the terms:
((-12xy + 9x2) + 4y * (3x + -4y)) = 0
((-12xy + 9x2) + 4y * (3x + -4y)) = 0
(-12xy + 9x2 + (3x * 4y + -4y * 4y)) = 0
(-12xy + 9x2 + (12xy + -16y2)) = 0

Reorder the terms:
(-12xy + 12xy + 9x2 + -16y2) = 0

Combine like terms: -12xy + 12xy = 0
(0 + 9x2 + -16y2) = 0
(9x2 + -16y2) = 0

Solving
9x2 + -16y2 = 0

Solving for variable 'x'.

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

Add '16y2' to each side of the equation.
9x2 + -16y2 + 16y2 = 0 + 16y2

Combine like terms: -16y2 + 16y2 = 0
9x2 + 0 = 0 + 16y2
9x2 = 0 + 16y2
Remove the zero:
9x2 = 16y2

Divide each side by '9'.
x2 = 1.777777778y2

Simplifying
x2 = 1.777777778y2

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

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