204=l(l+5)

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Solution for 204=l(l+5) equation:


Simplifying
204 = l(l + 5)

Reorder the terms:
204 = l(5 + l)
204 = (5 * l + l * l)
204 = (5l + l2)

Solving
204 = 5l + l2

Solving for variable 'l'.

Reorder the terms:
204 + -5l + -1l2 = 5l + -5l + l2 + -1l2

Combine like terms: 5l + -5l = 0
204 + -5l + -1l2 = 0 + l2 + -1l2
204 + -5l + -1l2 = l2 + -1l2

Combine like terms: l2 + -1l2 = 0
204 + -5l + -1l2 = 0

Factor a trinomial.
(12 + -1l)(17 + l) = 0

Subproblem 1

Set the factor '(12 + -1l)' equal to zero and attempt to solve: Simplifying 12 + -1l = 0 Solving 12 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1l = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1l = 0 + -12 -1l = 0 + -12 Combine like terms: 0 + -12 = -12 -1l = -12 Divide each side by '-1'. l = 12 Simplifying l = 12

Subproblem 2

Set the factor '(17 + l)' equal to zero and attempt to solve: Simplifying 17 + l = 0 Solving 17 + l = 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 + l = 0 + -17 Combine like terms: 17 + -17 = 0 0 + l = 0 + -17 l = 0 + -17 Combine like terms: 0 + -17 = -17 l = -17 Simplifying l = -17

Solution

l = {12, -17}

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