(15x-8y)(15x+8y)=

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Solution for (15x-8y)(15x+8y)= equation: 


Simplifying
(15x + -8y)(15x + 8y) = 0

Multiply (15x + -8y) * (15x + 8y)
(15x * (15x + 8y) + -8y * (15x + 8y)) = 0
((15x * 15x + 8y * 15x) + -8y * (15x + 8y)) = 0

Reorder the terms:
((120xy + 225x2) + -8y * (15x + 8y)) = 0
((120xy + 225x2) + -8y * (15x + 8y)) = 0
(120xy + 225x2 + (15x * -8y + 8y * -8y)) = 0
(120xy + 225x2 + (-120xy + -64y2)) = 0

Reorder the terms:
(120xy + -120xy + 225x2 + -64y2) = 0

Combine like terms: 120xy + -120xy = 0
(0 + 225x2 + -64y2) = 0
(225x2 + -64y2) = 0

Solving
225x2 + -64y2 = 0

Solving for variable 'x'.

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

Add '64y2' to each side of the equation.
225x2 + -64y2 + 64y2 = 0 + 64y2

Combine like terms: -64y2 + 64y2 = 0
225x2 + 0 = 0 + 64y2
225x2 = 0 + 64y2
Remove the zero:
225x2 = 64y2

Divide each side by '225'.
x2 = 0.2844444444y2

Simplifying
x2 = 0.2844444444y2

Take the square root of each side:
x = {-0.533333333y, 0.533333333y}

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