(15-l)*l=36

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Solution for (15-l)*l=36 equation:


Simplifying
(15 + -1l) * l = 36

Reorder the terms for easier multiplication:
l(15 + -1l) = 36
(15 * l + -1l * l) = 36
(15l + -1l2) = 36

Solving
15l + -1l2 = 36

Solving for variable 'l'.

Reorder the terms:
-36 + 15l + -1l2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 15l + -1l2 = 0

Factor a trinomial.
(-12 + l)(3 + -1l) = 0

Subproblem 1

Set the factor '(-12 + l)' equal to zero and attempt to solve: Simplifying -12 + l = 0 Solving -12 + l = 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 + l = 0 + 12 Combine like terms: -12 + 12 = 0 0 + l = 0 + 12 l = 0 + 12 Combine like terms: 0 + 12 = 12 l = 12 Simplifying l = 12

Subproblem 2

Set the factor '(3 + -1l)' equal to zero and attempt to solve: Simplifying 3 + -1l = 0 Solving 3 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1l = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1l = 0 + -3 -1l = 0 + -3 Combine like terms: 0 + -3 = -3 -1l = -3 Divide each side by '-1'. l = 3 Simplifying l = 3

Solution

l = {12, 3}

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