310538=0.5*1.157*v^2

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Solution for 310538=0.5*1.157*v^2 equation: 


Simplifying
310538 = 0.5 * 1.157v2

Multiply 0.5 * 1.157
310538 = 0.5785v2

Solving
310538 = 0.5785v2

Solving for variable 'v'.

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

Add '-0.5785v2' to each side of the equation.
310538 + -0.5785v2 = 0.5785v2 + -0.5785v2

Combine like terms: 0.5785v2 + -0.5785v2 = 0.0000
310538 + -0.5785v2 = 0.0000

Add '-310538' to each side of the equation.
310538 + -310538 + -0.5785v2 = 0.0000 + -310538

Combine like terms: 310538 + -310538 = 0
0 + -0.5785v2 = 0.0000 + -310538
-0.5785v2 = 0.0000 + -310538

Combine like terms: 0.0000 + -310538 = -310538
-0.5785v2 = -310538

Divide each side by '-0.5785'.
v2 = 536798.6171

Simplifying
v2 = 536798.6171

Take the square root of each side:
v = {-732.665419615, 732.665419615}

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