l^2-12l-85=0

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Solution for l^2-12l-85=0 equation:


Simplifying
l2 + -12l + -85 = 0

Reorder the terms:
-85 + -12l + l2 = 0

Solving
-85 + -12l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-5 + -1l)(17 + -1l) = 0

Subproblem 1

Set the factor '(-5 + -1l)' equal to zero and attempt to solve: Simplifying -5 + -1l = 0 Solving -5 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1l = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1l = 0 + 5 -1l = 0 + 5 Combine like terms: 0 + 5 = 5 -1l = 5 Divide each side by '-1'. l = -5 Simplifying l = -5

Subproblem 2

Set the factor '(17 + -1l)' equal to zero and attempt to solve: Simplifying 17 + -1l = 0 Solving 17 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1l = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1l = 0 + -17 -1l = 0 + -17 Combine like terms: 0 + -17 = -17 -1l = -17 Divide each side by '-1'. l = 17 Simplifying l = 17

Solution

l = {-5, 17}

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