2v^2-10v+21-v^2+12v-36=

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Solution for 2v^2-10v+21-v^2+12v-36= equation:


Simplifying
2v2 + -10v + 21 + -1v2 + 12v + -36 = 0

Reorder the terms:
21 + -36 + -10v + 12v + 2v2 + -1v2 = 0

Combine like terms: 21 + -36 = -15
-15 + -10v + 12v + 2v2 + -1v2 = 0

Combine like terms: -10v + 12v = 2v
-15 + 2v + 2v2 + -1v2 = 0

Combine like terms: 2v2 + -1v2 = 1v2
-15 + 2v + 1v2 = 0

Solving
-15 + 2v + 1v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3

Solution

v = {-5, 3}

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