6v^2+90=-48v

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Solution for 6v^2+90=-48v equation:


Simplifying
6v2 + 90 = -48v

Reorder the terms:
90 + 6v2 = -48v

Solving
90 + 6v2 = -48v

Solving for variable 'v'.

Reorder the terms:
90 + 48v + 6v2 = -48v + 48v

Combine like terms: -48v + 48v = 0
90 + 48v + 6v2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(15 + 8v + v2) = 0

Factor a trinomial.
6((5 + v)(3 + v)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 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 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5

Subproblem 2

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

Solution

v = {-5, -3}

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