5v^2+30=120

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Solution for 5v^2+30=120 equation:


Simplifying
5v2 + 30 = 120

Reorder the terms:
30 + 5v2 = 120

Solving
30 + 5v2 = 120

Solving for variable 'v'.

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

Add '-30' to each side of the equation.
30 + -30 + 5v2 = 120 + -30

Combine like terms: 30 + -30 = 0
0 + 5v2 = 120 + -30
5v2 = 120 + -30

Combine like terms: 120 + -30 = 90
5v2 = 90

Divide each side by '5'.
v2 = 18

Simplifying
v2 = 18

Take the square root of each side:
v = {-4.242640687, 4.242640687}

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