-36n^2+48n=15

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Solution for -36n^2+48n=15 equation:


Simplifying
-36n2 + 48n = 15

Reorder the terms:
48n + -36n2 = 15

Solving
48n + -36n2 = 15

Solving for variable 'n'.

Reorder the terms:
-15 + 48n + -36n2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 48n + -36n2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 16n + -12n2) = 0

Factor a trinomial.
3((-5 + 6n)(1 + -2n)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-5 + 6n)' equal to zero and attempt to solve: Simplifying -5 + 6n = 0 Solving -5 + 6n = 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 + 6n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = 0 + 5 6n = 0 + 5 Combine like terms: 0 + 5 = 5 6n = 5 Divide each side by '6'. n = 0.8333333333 Simplifying n = 0.8333333333

Subproblem 2

Set the factor '(1 + -2n)' equal to zero and attempt to solve: Simplifying 1 + -2n = 0 Solving 1 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 0 + -1 -2n = 0 + -1 Combine like terms: 0 + -1 = -1 -2n = -1 Divide each side by '-2'. n = 0.5 Simplifying n = 0.5

Solution

n = {0.8333333333, 0.5}

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