17l-l^2-72=0

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Solution for 17l-l^2-72=0 equation:


Simplifying
17l + -1l2 + -72 = 0

Reorder the terms:
-72 + 17l + -1l2 = 0

Solving
-72 + 17l + -1l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-9 + l)(8 + -1l) = 0

Subproblem 1

Set the factor '(-9 + l)' equal to zero and attempt to solve: Simplifying -9 + l = 0 Solving -9 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + l = 0 + 9 Combine like terms: -9 + 9 = 0 0 + l = 0 + 9 l = 0 + 9 Combine like terms: 0 + 9 = 9 l = 9 Simplifying l = 9

Subproblem 2

Set the factor '(8 + -1l)' equal to zero and attempt to solve: Simplifying 8 + -1l = 0 Solving 8 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1l = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1l = 0 + -8 -1l = 0 + -8 Combine like terms: 0 + -8 = -8 -1l = -8 Divide each side by '-1'. l = 8 Simplifying l = 8

Solution

l = {9, 8}

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