5v^6-7v^5=6v^4

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Solution for 5v^6-7v^5=6v^4 equation:


Simplifying
5v6 + -7v5 = 6v4

Reorder the terms:
-7v5 + 5v6 = 6v4

Solving
-7v5 + 5v6 = 6v4

Solving for variable 'v'.

Reorder the terms:
-6v4 + -7v5 + 5v6 = 6v4 + -6v4

Combine like terms: 6v4 + -6v4 = 0
-6v4 + -7v5 + 5v6 = 0

Factor out the Greatest Common Factor (GCF), 'v4'.
v4(-6 + -7v + 5v2) = 0

Factor a trinomial.
v4((-3 + -5v)(2 + -1v)) = 0

Subproblem 1

Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

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

Subproblem 3

Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2

Solution

v = {-0.6, 2}

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