252v^3-462v^2+196v=0

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Solution for 252v^3-462v^2+196v=0 equation:


Simplifying
252v3 + -462v2 + 196v = 0

Reorder the terms:
196v + -462v2 + 252v3 = 0

Solving
196v + -462v2 + 252v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '14v'.
14v(14 + -33v + 18v2) = 0

Factor a trinomial.
14v((2 + -3v)(7 + -6v)) = 0

Ignore the factor 14.

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 '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667

Subproblem 3

Set the factor '(7 + -6v)' equal to zero and attempt to solve: Simplifying 7 + -6v = 0 Solving 7 + -6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6v = 0 + -7 -6v = 0 + -7 Combine like terms: 0 + -7 = -7 -6v = -7 Divide each side by '-6'. v = 1.166666667 Simplifying v = 1.166666667

Solution

v = {0, 0.6666666667, 1.166666667}

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