28n^2-172n-168=0

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Solution for 28n^2-172n-168=0 equation:


Simplifying
28n2 + -172n + -168 = 0

Reorder the terms:
-168 + -172n + 28n2 = 0

Solving
-168 + -172n + 28n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-42 + -43n + 7n2) = 0

Factor a trinomial.
4((-6 + -7n)(7 + -1n)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-6 + -7n)' equal to zero and attempt to solve: Simplifying -6 + -7n = 0 Solving -6 + -7n = 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 + -7n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7n = 0 + 6 -7n = 0 + 6 Combine like terms: 0 + 6 = 6 -7n = 6 Divide each side by '-7'. n = -0.8571428571 Simplifying n = -0.8571428571

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 = {-0.8571428571, 7}

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