8v^2-32w^2=0

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Solution for 8v^2-32w^2=0 equation: 


Simplifying
8v2 + -32w2 = 0

Solving
8v2 + -32w2 = 0

Solving for variable 'v'.

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

Add '32w2' to each side of the equation.
8v2 + -32w2 + 32w2 = 0 + 32w2

Combine like terms: -32w2 + 32w2 = 0
8v2 + 0 = 0 + 32w2
8v2 = 0 + 32w2
Remove the zero:
8v2 = 32w2

Divide each side by '8'.
v2 = 4w2

Simplifying
v2 = 4w2

Take the square root of each side:
v = {-2w, 2w}

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