15n^2+26n-8=0

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Solution for 15n^2+26n-8=0 equation:


Simplifying
15n2 + 26n + -8 = 0

Reorder the terms:
-8 + 26n + 15n2 = 0

Solving
-8 + 26n + 15n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-2 + -1n)(4 + -15n) = 0

Subproblem 1

Set the factor '(-2 + -1n)' equal to zero and attempt to solve: Simplifying -2 + -1n = 0 Solving -2 + -1n = 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 + -1n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 0 + 2 -1n = 0 + 2 Combine like terms: 0 + 2 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2

Subproblem 2

Set the factor '(4 + -15n)' equal to zero and attempt to solve: Simplifying 4 + -15n = 0 Solving 4 + -15n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -15n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -15n = 0 + -4 -15n = 0 + -4 Combine like terms: 0 + -4 = -4 -15n = -4 Divide each side by '-15'. n = 0.2666666667 Simplifying n = 0.2666666667

Solution

n = {-2, 0.2666666667}

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