((7m)(7m))+((bm)(bm))=(20m)(20m)

Solution for ((7m)(7m))+((bm)(bm))=(20m)(20m) equation:

Simplifying
((7m)(7m)) + ((bm)(bm)) = (20m)(20m)

Remove parenthesis around (7m)
(7m(7m)) + ((bm)(bm)) = (20m)(20m)

Remove parenthesis around (7m)
(7m * 7m) + ((bm)(bm)) = (20m)(20m)

Reorder the terms for easier multiplication:
(7 * 7m * m) + ((bm)(bm)) = (20m)(20m)

Multiply 7 * 7
(49m * m) + ((bm)(bm)) = (20m)(20m)

Multiply m * m
(49m2) + ((bm)(bm)) = (20m)(20m)

Multiply bm * bm
(49m2) + (b2m2) = (20m)(20m)
(49m2) + b2m2 = (20m)(20m)

Reorder the terms:
b2m2 + (49m2) = (20m)(20m)

Remove parenthesis around (20m)
b2m2 + (49m2) = 20m(20m)

Remove parenthesis around (20m)
b2m2 + (49m2) = 20m * 20m

Reorder the terms for easier multiplication:
b2m2 + (49m2) = 20 * 20m * m

Multiply 20 * 20
b2m2 + (49m2) = 400m * m

Multiply m * m
b2m2 + (49m2) = 400m2

Solving
b2m2 + (49m2) = 400m2

Solving for variable 'b'.

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

Add '(-49m2)' to each side of the equation.
b2m2 + (49m2) + (-49m2) = 400m2 + (-49m2)

Combine like terms: (49m2) + (-49m2) = 0
b2m2 + 0 = 400m2 + (-49m2)
b2m2 = 400m2 + (-49m2)

Combine like terms: 400m2 + (-49m2) = 351m2
b2m2 = 351m2

Divide each side by 'm2'.
b2 = 351

Simplifying
b2 = 351

Take the square root of each side:
b = {-18.734993995, 18.734993995}