(5y-4x)(5y+4x)=

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Solution for (5y-4x)(5y+4x)= equation: 


Simplifying
(5y + -4x)(5y + 4x) = 0

Reorder the terms:
(-4x + 5y)(5y + 4x) = 0

Reorder the terms:
(-4x + 5y)(4x + 5y) = 0

Multiply (-4x + 5y) * (4x + 5y)
(-4x * (4x + 5y) + 5y * (4x + 5y)) = 0
((4x * -4x + 5y * -4x) + 5y * (4x + 5y)) = 0

Reorder the terms:
((-20xy + -16x2) + 5y * (4x + 5y)) = 0
((-20xy + -16x2) + 5y * (4x + 5y)) = 0
(-20xy + -16x2 + (4x * 5y + 5y * 5y)) = 0
(-20xy + -16x2 + (20xy + 25y2)) = 0

Reorder the terms:
(-20xy + 20xy + -16x2 + 25y2) = 0

Combine like terms: -20xy + 20xy = 0
(0 + -16x2 + 25y2) = 0
(-16x2 + 25y2) = 0

Solving
-16x2 + 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.
-16x2 + 25y2 + -25y2 = 0 + -25y2

Combine like terms: 25y2 + -25y2 = 0
-16x2 + 0 = 0 + -25y2
-16x2 = 0 + -25y2
Remove the zero:
-16x2 = -25y2

Divide each side by '-16'.
x2 = 1.5625y2

Simplifying
x2 = 1.5625y2

Take the square root of each side:
x = {-1.25y, 1.25y}

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