90v^3-69v^2+9v=

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Solution for 90v^3-69v^2+9v= equation:


Simplifying
90v3 + -69v2 + 9v = 0

Reorder the terms:
9v + -69v2 + 90v3 = 0

Solving
9v + -69v2 + 90v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(3 + -23v + 30v2) = 0

Factor a trinomial.
3v((1 + -6v)(3 + -5v)) = 0

Ignore the factor 3.

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 '(1 + -6v)' equal to zero and attempt to solve: Simplifying 1 + -6v = 0 Solving 1 + -6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6v = 0 + -1 -6v = 0 + -1 Combine like terms: 0 + -1 = -1 -6v = -1 Divide each side by '-6'. v = 0.1666666667 Simplifying v = 0.1666666667

Subproblem 3

Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6

Solution

v = {0, 0.1666666667, 0.6}

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