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Simplifying
9v2 + 2 + -7 = 0
Reorder the terms:
2 + -7 + 9v2 = 0
Combine like terms: 2 + -7 = -5
-5 + 9v2 = 0
Solving
-5 + 9v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 9v2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 9v2 = 0 + 5
9v2 = 0 + 5
Combine like terms: 0 + 5 = 5
9v2 = 5
Divide each side by '9'.
v2 = 0.5555555556
Simplifying
v2 = 0.5555555556
Take the square root of each side:
v = {-0.745355993, 0.745355993}
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