v^2+5v=36

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Solution for v^2+5v=36 equation:


Simplifying
v2 + 5v = 36

Reorder the terms:
5v + v2 = 36

Solving
5v + v2 = 36

Solving for variable 'v'.

Reorder the terms:
-36 + 5v + v2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 5v + v2 = 0

Factor a trinomial.
(-9 + -1v)(4 + -1v) = 0

Subproblem 1

Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9

Subproblem 2

Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4

Solution

v = {-9, 4}

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