-4v^2-8v+12=-5v^2-v

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Solution for -4v^2-8v+12=-5v^2-v equation:


Simplifying
-4v2 + -8v + 12 = -5v2 + -1v

Reorder the terms:
12 + -8v + -4v2 = -5v2 + -1v

Reorder the terms:
12 + -8v + -4v2 = -1v + -5v2

Solving
12 + -8v + -4v2 = -1v + -5v2

Solving for variable 'v'.

Reorder the terms:
12 + -8v + v + -4v2 + 5v2 = -1v + -5v2 + v + 5v2

Combine like terms: -8v + v = -7v
12 + -7v + -4v2 + 5v2 = -1v + -5v2 + v + 5v2

Combine like terms: -4v2 + 5v2 = 1v2
12 + -7v + 1v2 = -1v + -5v2 + v + 5v2

Reorder the terms:
12 + -7v + 1v2 = -1v + v + -5v2 + 5v2

Combine like terms: -1v + v = 0
12 + -7v + 1v2 = 0 + -5v2 + 5v2
12 + -7v + 1v2 = -5v2 + 5v2

Combine like terms: -5v2 + 5v2 = 0
12 + -7v + 1v2 = 0

Factor a trinomial.
(3 + -1v)(4 + -1v) = 0

Subproblem 1

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

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 = {3, 4}

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