(5b+2g)(5b-2g)=

Solution for (5b+2g)(5b-2g)= equation:

Simplifying
(5b + 2g)(5b + -2g) = 0

Multiply (5b + 2g) * (5b + -2g)
(5b * (5b + -2g) + 2g * (5b + -2g)) = 0
((5b * 5b + -2g * 5b) + 2g * (5b + -2g)) = 0

Reorder the terms:
((-10bg + 25b2) + 2g * (5b + -2g)) = 0
((-10bg + 25b2) + 2g * (5b + -2g)) = 0
(-10bg + 25b2 + (5b * 2g + -2g * 2g)) = 0
(-10bg + 25b2 + (10bg + -4g2)) = 0

Reorder the terms:
(-10bg + 10bg + 25b2 + -4g2) = 0

Combine like terms: -10bg + 10bg = 0
(0 + 25b2 + -4g2) = 0
(25b2 + -4g2) = 0

Solving
25b2 + -4g2 = 0

Solving for variable 'b'.

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

Add '4g2' to each side of the equation.
25b2 + -4g2 + 4g2 = 0 + 4g2

Combine like terms: -4g2 + 4g2 = 0
25b2 + 0 = 0 + 4g2
25b2 = 0 + 4g2
Remove the zero:
25b2 = 4g2

Divide each side by '25'.
b2 = 0.16g2

Simplifying
b2 = 0.16g2

Take the square root of each side:
b = {-0.4g, 0.4g}