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Simplifying
7v2 + 35 + -42 = 0
Reorder the terms:
35 + -42 + 7v2 = 0
Combine like terms: 35 + -42 = -7
-7 + 7v2 = 0
Solving
-7 + 7v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 7v2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 7v2 = 0 + 7
7v2 = 0 + 7
Combine like terms: 0 + 7 = 7
7v2 = 7
Divide each side by '7'.
v2 = 1
Simplifying
v2 = 1
Take the square root of each side:
v = {-1, 1}
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