40*40=9u*9u+16u*16u

Solution for 40*40=9u*9u+16u*16u equation:

Simplifying
40 * 40 = 9u * 9u + 16u * 16u

Multiply 40 * 40
1600 = 9u * 9u + 16u * 16u

Reorder the terms for easier multiplication:
1600 = 9 * 9u * u + 16u * 16u

Multiply 9 * 9
1600 = 81u * u + 16u * 16u

Multiply u * u
1600 = 81u2 + 16u * 16u

Reorder the terms for easier multiplication:
1600 = 81u2 + 16 * 16u * u

Multiply 16 * 16
1600 = 81u2 + 256u * u

Multiply u * u
1600 = 81u2 + 256u2

Combine like terms: 81u2 + 256u2 = 337u2
1600 = 337u2

Solving
1600 = 337u2

Solving for variable 'u'.

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

Add '-337u2' to each side of the equation.
1600 + -337u2 = 337u2 + -337u2

Combine like terms: 337u2 + -337u2 = 0
1600 + -337u2 = 0

Add '-1600' to each side of the equation.
1600 + -1600 + -337u2 = 0 + -1600

Combine like terms: 1600 + -1600 = 0
0 + -337u2 = 0 + -1600
-337u2 = 0 + -1600

Combine like terms: 0 + -1600 = -1600
-337u2 = -1600

Divide each side by '-337'.
u2 = 4.747774481

Simplifying
u2 = 4.747774481

Take the square root of each side:
u = {-2.178938843, 2.178938843}