6v^2-100=10v

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Solution for 6v^2-100=10v equation:


Simplifying
6v2 + -100 = 10v

Reorder the terms:
-100 + 6v2 = 10v

Solving
-100 + 6v2 = 10v

Solving for variable 'v'.

Reorder the terms:
-100 + -10v + 6v2 = 10v + -10v

Combine like terms: 10v + -10v = 0
-100 + -10v + 6v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-50 + -5v + 3v2) = 0

Factor a trinomial.
2((-10 + -3v)(5 + -1v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + -3v)' equal to zero and attempt to solve: Simplifying -10 + -3v = 0 Solving -10 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3v = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3v = 0 + 10 -3v = 0 + 10 Combine like terms: 0 + 10 = 10 -3v = 10 Divide each side by '-3'. v = -3.333333333 Simplifying v = -3.333333333

Subproblem 2

Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5

Solution

v = {-3.333333333, 5}

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