17v^2+5v=-6v

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Solution for 17v^2+5v=-6v equation:


Simplifying
17v2 + 5v = -6v

Reorder the terms:
5v + 17v2 = -6v

Solving
5v + 17v2 = -6v

Solving for variable 'v'.

Reorder the terms:
5v + 6v + 17v2 = -6v + 6v

Combine like terms: 5v + 6v = 11v
11v + 17v2 = -6v + 6v

Combine like terms: -6v + 6v = 0
11v + 17v2 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(11 + 17v) = 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 '(11 + 17v)' equal to zero and attempt to solve: Simplifying 11 + 17v = 0 Solving 11 + 17v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 17v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 17v = 0 + -11 17v = 0 + -11 Combine like terms: 0 + -11 = -11 17v = -11 Divide each side by '17'. v = -0.6470588235 Simplifying v = -0.6470588235

Solution

v = {0, -0.6470588235}

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