4v^2=-17v

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Solution for 4v^2=-17v equation:


Simplifying
4v2 = -17v

Solving
4v2 = -17v

Solving for variable 'v'.

Reorder the terms:
17v + 4v2 = -17v + 17v

Combine like terms: -17v + 17v = 0
17v + 4v2 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(17 + 4v) = 0

Subproblem 1

Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0

Subproblem 2

Set the factor '(17 + 4v)' equal to zero and attempt to solve: Simplifying 17 + 4v = 0 Solving 17 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4v = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4v = 0 + -17 4v = 0 + -17 Combine like terms: 0 + -17 = -17 4v = -17 Divide each side by '4'. v = -4.25 Simplifying v = -4.25

Solution

v = {0, -4.25}

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