5n^2+23n-42=0

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Solution for 5n^2+23n-42=0 equation:


Simplifying
5n2 + 23n + -42 = 0

Reorder the terms:
-42 + 23n + 5n2 = 0

Solving
-42 + 23n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-6 + -1n)(7 + -5n) = 0

Subproblem 1

Set the factor '(-6 + -1n)' equal to zero and attempt to solve: Simplifying -6 + -1n = 0 Solving -6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = 0 + 6 -1n = 0 + 6 Combine like terms: 0 + 6 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6

Subproblem 2

Set the factor '(7 + -5n)' equal to zero and attempt to solve: Simplifying 7 + -5n = 0 Solving 7 + -5n = 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 + -5n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5n = 0 + -7 -5n = 0 + -7 Combine like terms: 0 + -7 = -7 -5n = -7 Divide each side by '-5'. n = 1.4 Simplifying n = 1.4

Solution

n = {-6, 1.4}

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