4-5v^2=-316

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Solution for 4-5v^2=-316 equation: 


Simplifying
4 + -5v2 = -316

Solving
4 + -5v2 = -316

Solving for variable 'v'.

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

Add '-4' to each side of the equation.
4 + -4 + -5v2 = -316 + -4

Combine like terms: 4 + -4 = 0
0 + -5v2 = -316 + -4
-5v2 = -316 + -4

Combine like terms: -316 + -4 = -320
-5v2 = -320

Divide each side by '-5'.
v2 = 64

Simplifying
v2 = 64

Take the square root of each side:
v = {-8, 8}

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