(5w+7u)(5w-7u)=0

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Solution for (5w+7u)(5w-7u)=0 equation: 


Simplifying
(5w + 7u)(5w + -7u) = 0

Reorder the terms:
(7u + 5w)(5w + -7u) = 0

Reorder the terms:
(7u + 5w)(-7u + 5w) = 0

Multiply (7u + 5w) * (-7u + 5w)
(7u * (-7u + 5w) + 5w * (-7u + 5w)) = 0
((-7u * 7u + 5w * 7u) + 5w * (-7u + 5w)) = 0

Reorder the terms:
((35uw + -49u2) + 5w * (-7u + 5w)) = 0
((35uw + -49u2) + 5w * (-7u + 5w)) = 0
(35uw + -49u2 + (-7u * 5w + 5w * 5w)) = 0
(35uw + -49u2 + (-35uw + 25w2)) = 0

Reorder the terms:
(35uw + -35uw + -49u2 + 25w2) = 0

Combine like terms: 35uw + -35uw = 0
(0 + -49u2 + 25w2) = 0
(-49u2 + 25w2) = 0

Solving
-49u2 + 25w2 = 0

Solving for variable 'u'.

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

Add '-25w2' to each side of the equation.
-49u2 + 25w2 + -25w2 = 0 + -25w2

Combine like terms: 25w2 + -25w2 = 0
-49u2 + 0 = 0 + -25w2
-49u2 = 0 + -25w2
Remove the zero:
-49u2 = -25w2

Divide each side by '-49'.
u2 = 0.5102040816w2

Simplifying
u2 = 0.5102040816w2

Take the square root of each side:
u = {-0.714285714w, 0.714285714w}

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