(5y+3x)(5y-3x)=

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Solution for (5y+3x)(5y-3x)= equation: 


Simplifying
(5y + 3x)(5y + -3x) = 0

Reorder the terms:
(3x + 5y)(5y + -3x) = 0

Reorder the terms:
(3x + 5y)(-3x + 5y) = 0

Multiply (3x + 5y) * (-3x + 5y)
(3x * (-3x + 5y) + 5y * (-3x + 5y)) = 0
((-3x * 3x + 5y * 3x) + 5y * (-3x + 5y)) = 0

Reorder the terms:
((15xy + -9x2) + 5y * (-3x + 5y)) = 0
((15xy + -9x2) + 5y * (-3x + 5y)) = 0
(15xy + -9x2 + (-3x * 5y + 5y * 5y)) = 0
(15xy + -9x2 + (-15xy + 25y2)) = 0

Reorder the terms:
(15xy + -15xy + -9x2 + 25y2) = 0

Combine like terms: 15xy + -15xy = 0
(0 + -9x2 + 25y2) = 0
(-9x2 + 25y2) = 0

Solving
-9x2 + 25y2 = 0

Solving for variable 'x'.

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

Add '-25y2' to each side of the equation.
-9x2 + 25y2 + -25y2 = 0 + -25y2

Combine like terms: 25y2 + -25y2 = 0
-9x2 + 0 = 0 + -25y2
-9x2 = 0 + -25y2
Remove the zero:
-9x2 = -25y2

Divide each side by '-9'.
x2 = 2.777777778y2

Simplifying
x2 = 2.777777778y2

Take the square root of each side:
x = {-1.666666667y, 1.666666667y}

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