9n^2+24n-20=0

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Solution for 9n^2+24n-20=0 equation:


Simplifying
9n2 + 24n + -20 = 0

Reorder the terms:
-20 + 24n + 9n2 = 0

Solving
-20 + 24n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-10 + -3n)(2 + -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 '(2 + -3n)' equal to zero and attempt to solve: Simplifying 2 + -3n = 0 Solving 2 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 0 + -2 -3n = 0 + -2 Combine like terms: 0 + -2 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667

Solution

n = {-3.333333333, 0.6666666667}

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