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Simplifying
36x2 + -9v2 = 0
Reorder the terms:
-9v2 + 36x2 = 0
Solving
-9v2 + 36x2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-36x2' to each side of the equation.
-9v2 + 36x2 + -36x2 = 0 + -36x2
Combine like terms: 36x2 + -36x2 = 0
-9v2 + 0 = 0 + -36x2
-9v2 = 0 + -36x2
Remove the zero:
-9v2 = -36x2
Divide each side by '-9'.
v2 = 4x2
Simplifying
v2 = 4x2
Take the square root of each side:
v = {-2x, 2x}
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