3n^2+25=-20n

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Solution for 3n^2+25=-20n equation:


Simplifying
3n2 + 25 = -20n

Reorder the terms:
25 + 3n2 = -20n

Solving
25 + 3n2 = -20n

Solving for variable 'n'.

Reorder the terms:
25 + 20n + 3n2 = -20n + 20n

Combine like terms: -20n + 20n = 0
25 + 20n + 3n2 = 0

Factor a trinomial.
(5 + n)(5 + 3n) = 0

Subproblem 1

Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5

Subproblem 2

Set the factor '(5 + 3n)' equal to zero and attempt to solve: Simplifying 5 + 3n = 0 Solving 5 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 0 + -5 3n = 0 + -5 Combine like terms: 0 + -5 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667

Solution

n = {-5, -1.666666667}

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