15n^2+4n-4=0

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Solution for 15n^2+4n-4=0 equation:


Simplifying
15n2 + 4n + -4 = 0

Reorder the terms:
-4 + 4n + 15n2 = 0

Solving
-4 + 4n + 15n2 = 0

Solving for variable 'n'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -5n)' equal to zero and attempt to solve: Simplifying 2 + -5n = 0 Solving 2 + -5n = 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 + -5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5n = 0 + -2 -5n = 0 + -2 Combine like terms: 0 + -2 = -2 -5n = -2 Divide each side by '-5'. n = 0.4 Simplifying n = 0.4

Solution

n = {-0.6666666667, 0.4}

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