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Simplifying
(5u + 6w)(5u + -6w) = 0
Multiply (5u + 6w) * (5u + -6w)
(5u * (5u + -6w) + 6w * (5u + -6w)) = 0
((5u * 5u + -6w * 5u) + 6w * (5u + -6w)) = 0
Reorder the terms:
((-30uw + 25u2) + 6w * (5u + -6w)) = 0
((-30uw + 25u2) + 6w * (5u + -6w)) = 0
(-30uw + 25u2 + (5u * 6w + -6w * 6w)) = 0
(-30uw + 25u2 + (30uw + -36w2)) = 0
Reorder the terms:
(-30uw + 30uw + 25u2 + -36w2) = 0
Combine like terms: -30uw + 30uw = 0
(0 + 25u2 + -36w2) = 0
(25u2 + -36w2) = 0
Solving
25u2 + -36w2 = 0
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '36w2' to each side of the equation.
25u2 + -36w2 + 36w2 = 0 + 36w2
Combine like terms: -36w2 + 36w2 = 0
25u2 + 0 = 0 + 36w2
25u2 = 0 + 36w2
Remove the zero:
25u2 = 36w2
Divide each side by '25'.
u2 = 1.44w2
Simplifying
u2 = 1.44w2
Take the square root of each side:
u = {-1.2w, 1.2w}
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