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 + -5n)(4 + -3n) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -3n)' equal to zero and attempt to solve: Simplifying 4 + -3n = 0 Solving 4 + -3n = 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 + -3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = 0 + -4 -3n = 0 + -4 Combine like terms: 0 + -4 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333

Solution

n = {0.4, 1.333333333}

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