5n^2-35n-4n+28=0

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Solution for 5n^2-35n-4n+28=0 equation:


Simplifying
5n2 + -35n + -4n + 28 = 0

Reorder the terms:
28 + -35n + -4n + 5n2 = 0

Combine like terms: -35n + -4n = -39n
28 + -39n + 5n2 = 0

Solving
28 + -39n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(4 + -5n)(7 + -1n) = 0

Subproblem 1

Set the factor '(4 + -5n)' equal to zero and attempt to solve: Simplifying 4 + -5n = 0 Solving 4 + -5n = 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 + -5n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5n = 0 + -4 -5n = 0 + -4 Combine like terms: 0 + -4 = -4 -5n = -4 Divide each side by '-5'. n = 0.8 Simplifying n = 0.8

Subproblem 2

Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7

Solution

n = {0.8, 7}

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