(7ab+5c)(7ab-5c)=

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Solution for (7ab+5c)(7ab-5c)= equation: 


Simplifying
(7ab + 5c)(7ab + -5c) = 0

Multiply (7ab + 5c) * (7ab + -5c)
(7ab * (7ab + -5c) + 5c * (7ab + -5c)) = 0
((7ab * 7ab + -5c * 7ab) + 5c * (7ab + -5c)) = 0

Reorder the terms:
((-35abc + 49a2b2) + 5c * (7ab + -5c)) = 0
((-35abc + 49a2b2) + 5c * (7ab + -5c)) = 0
(-35abc + 49a2b2 + (7ab * 5c + -5c * 5c)) = 0
(-35abc + 49a2b2 + (35abc + -25c2)) = 0

Reorder the terms:
(-35abc + 35abc + 49a2b2 + -25c2) = 0

Combine like terms: -35abc + 35abc = 0
(0 + 49a2b2 + -25c2) = 0
(49a2b2 + -25c2) = 0

Solving
49a2b2 + -25c2 = 0

Solving for variable 'a'.

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

Add '25c2' to each side of the equation.
49a2b2 + -25c2 + 25c2 = 0 + 25c2

Combine like terms: -25c2 + 25c2 = 0
49a2b2 + 0 = 0 + 25c2
49a2b2 = 0 + 25c2
Remove the zero:
49a2b2 = 25c2

Divide each side by '49b2'.
a2 = 0.5102040816b-2c2

Simplifying
a2 = 0.5102040816b-2c2

Take the square root of each side:
a = {-0.714285714b-1c, 0.714285714b-1c}

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