2v^2+28v+90=0

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Solution for 2v^2+28v+90=0 equation:


Simplifying
2v2 + 28v + 90 = 0

Reorder the terms:
90 + 28v + 2v2 = 0

Solving
90 + 28v + 2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + 14v + v2) = 0

Factor a trinomial.
2((9 + v)(5 + v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + v)' equal to zero and attempt to solve: Simplifying 9 + v = 0 Solving 9 + v = 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 + v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v = 0 + -9 v = 0 + -9 Combine like terms: 0 + -9 = -9 v = -9 Simplifying v = -9

Subproblem 2

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

Solution

v = {-9, -5}

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