9n^2+60n+100=

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Solution for 9n^2+60n+100= equation:


Simplifying
9n2 + 60n + 100 = 0

Reorder the terms:
100 + 60n + 9n2 = 0

Solving
100 + 60n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(10 + 3n)(10 + 3n) = 0

Subproblem 1

Set the factor '(10 + 3n)' equal to zero and attempt to solve: Simplifying 10 + 3n = 0 Solving 10 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = 0 + -10 3n = 0 + -10 Combine like terms: 0 + -10 = -10 3n = -10 Divide each side by '3'. n = -3.333333333 Simplifying n = -3.333333333

Subproblem 2

Set the factor '(10 + 3n)' equal to zero and attempt to solve: Simplifying 10 + 3n = 0 Solving 10 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = 0 + -10 3n = 0 + -10 Combine like terms: 0 + -10 = -10 3n = -10 Divide each side by '3'. n = -3.333333333 Simplifying n = -3.333333333

Solution

n = {-3.333333333, -3.333333333}

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