3v^2+7v=110

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Solution for 3v^2+7v=110 equation:


Simplifying
3v2 + 7v = 110

Reorder the terms:
7v + 3v2 = 110

Solving
7v + 3v2 = 110

Solving for variable 'v'.

Reorder the terms:
-110 + 7v + 3v2 = 110 + -110

Combine like terms: 110 + -110 = 0
-110 + 7v + 3v2 = 0

Factor a trinomial.
(-22 + -3v)(5 + -1v) = 0

Subproblem 1

Set the factor '(-22 + -3v)' equal to zero and attempt to solve: Simplifying -22 + -3v = 0 Solving -22 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -3v = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -3v = 0 + 22 -3v = 0 + 22 Combine like terms: 0 + 22 = 22 -3v = 22 Divide each side by '-3'. v = -7.333333333 Simplifying v = -7.333333333

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 = {-7.333333333, 5}

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