(5ab^2-2c)(5ab^2+2c)=

Solution for (5ab^2-2c)(5ab^2+2c)= equation:

Simplifying
(5ab2 + -2c)(5ab2 + 2c) = 0

Multiply (5ab2 + -2c) * (5ab2 + 2c)
(5ab2 * (5ab2 + 2c) + -2c * (5ab2 + 2c)) = 0
((5ab2 * 5ab2 + 2c * 5ab2) + -2c * (5ab2 + 2c)) = 0

Reorder the terms:
((10ab2c + 25a2b4) + -2c * (5ab2 + 2c)) = 0
((10ab2c + 25a2b4) + -2c * (5ab2 + 2c)) = 0
(10ab2c + 25a2b4 + (5ab2 * -2c + 2c * -2c)) = 0
(10ab2c + 25a2b4 + (-10ab2c + -4c2)) = 0

Reorder the terms:
(10ab2c + -10ab2c + 25a2b4 + -4c2) = 0

Combine like terms: 10ab2c + -10ab2c = 0
(0 + 25a2b4 + -4c2) = 0
(25a2b4 + -4c2) = 0

Solving
25a2b4 + -4c2 = 0

Solving for variable 'a'.

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

Add '4c2' to each side of the equation.
25a2b4 + -4c2 + 4c2 = 0 + 4c2

Combine like terms: -4c2 + 4c2 = 0
25a2b4 + 0 = 0 + 4c2
25a2b4 = 0 + 4c2
Remove the zero:
25a2b4 = 4c2

Divide each side by '25b4'.
a2 = 0.16b-4c2

Simplifying
a2 = 0.16b-4c2

Take the square root of each side:
a = {-0.4b-2c, 0.4b-2c}