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Simplifying
v2 + -10 = 47
Reorder the terms:
-10 + v2 = 47
Solving
-10 + v2 = 47
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + v2 = 47 + 10
Combine like terms: -10 + 10 = 0
0 + v2 = 47 + 10
v2 = 47 + 10
Combine like terms: 47 + 10 = 57
v2 = 57
Simplifying
v2 = 57
Take the square root of each side:
v = {-7.549834435, 7.549834435}
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