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

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


Simplifying
(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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