(7u+v)(7u-v)=

Solution for (7u+v)(7u-v)= equation:

Simplifying
(7u + v)(7u + -1v) = 0

Multiply (7u + v) * (7u + -1v)
(7u * (7u + -1v) + v(7u + -1v)) = 0
((7u * 7u + -1v * 7u) + v(7u + -1v)) = 0

Reorder the terms:
((-7uv + 49u2) + v(7u + -1v)) = 0
((-7uv + 49u2) + v(7u + -1v)) = 0
(-7uv + 49u2 + (7u * v + -1v * v)) = 0
(-7uv + 49u2 + (7uv + -1v2)) = 0

Reorder the terms:
(-7uv + 7uv + 49u2 + -1v2) = 0

Combine like terms: -7uv + 7uv = 0
(0 + 49u2 + -1v2) = 0
(49u2 + -1v2) = 0

Solving
49u2 + -1v2 = 0

Solving for variable 'u'.

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

Add 'v2' to each side of the equation.
49u2 + -1v2 + v2 = 0 + v2

Combine like terms: -1v2 + v2 = 0
49u2 + 0 = 0 + v2
49u2 = 0 + v2
Remove the zero:
49u2 = v2

Divide each side by '49'.
u2 = 0.02040816327v2

Simplifying
u2 = 0.02040816327v2

Take the square root of each side:
u = {-0.142857143v, 0.142857143v}