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Simplifying
108v2 + -147w2 = 0
Solving
108v2 + -147w2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '147w2' to each side of the equation.
108v2 + -147w2 + 147w2 = 0 + 147w2
Combine like terms: -147w2 + 147w2 = 0
108v2 + 0 = 0 + 147w2
108v2 = 0 + 147w2
Remove the zero:
108v2 = 147w2
Divide each side by '108'.
v2 = 1.361111111w2
Simplifying
v2 = 1.361111111w2
Take the square root of each side:
v = {-1.166666667w, 1.166666667w}
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