(7Y+5X)(7Y-5X)=

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Solution for (7Y+5X)(7Y-5X)= equation: 


Simplifying
(7Y + 5X)(7Y + -5X) = 0

Reorder the terms:
(5X + 7Y)(7Y + -5X) = 0

Reorder the terms:
(5X + 7Y)(-5X + 7Y) = 0

Multiply (5X + 7Y) * (-5X + 7Y)
(5X * (-5X + 7Y) + 7Y * (-5X + 7Y)) = 0
((-5X * 5X + 7Y * 5X) + 7Y * (-5X + 7Y)) = 0

Reorder the terms:
((35XY + -25X2) + 7Y * (-5X + 7Y)) = 0
((35XY + -25X2) + 7Y * (-5X + 7Y)) = 0
(35XY + -25X2 + (-5X * 7Y + 7Y * 7Y)) = 0
(35XY + -25X2 + (-35XY + 49Y2)) = 0

Reorder the terms:
(35XY + -35XY + -25X2 + 49Y2) = 0

Combine like terms: 35XY + -35XY = 0
(0 + -25X2 + 49Y2) = 0
(-25X2 + 49Y2) = 0

Solving
-25X2 + 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.
-25X2 + 49Y2 + -49Y2 = 0 + -49Y2

Combine like terms: 49Y2 + -49Y2 = 0
-25X2 + 0 = 0 + -49Y2
-25X2 = 0 + -49Y2
Remove the zero:
-25X2 = -49Y2

Divide each side by '-25'.
X2 = 1.96Y2

Simplifying
X2 = 1.96Y2

Take the square root of each side:
X = {-1.4Y, 1.4Y}

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