0=l(l+15)-450

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Solution for 0=l(l+15)-450 equation: 


Simplifying
0 = l(l + 15) + -450

Reorder the terms:
0 = l(15 + l) + -450
0 = (15 * l + l * l) + -450
0 = (15l + l2) + -450

Reorder the terms:
0 = -450 + 15l + l2

Solving
0 = -450 + 15l + l2

Solving for variable 'l'.

Combine like terms: 0 + 450 = 450
450 + -15l + -1l2 = -450 + 15l + l2 + 450 + -15l + -1l2

Reorder the terms:
450 + -15l + -1l2 = -450 + 450 + 15l + -15l + l2 + -1l2

Combine like terms: -450 + 450 = 0
450 + -15l + -1l2 = 0 + 15l + -15l + l2 + -1l2
450 + -15l + -1l2 = 15l + -15l + l2 + -1l2

Combine like terms: 15l + -15l = 0
450 + -15l + -1l2 = 0 + l2 + -1l2
450 + -15l + -1l2 = l2 + -1l2

Combine like terms: l2 + -1l2 = 0
450 + -15l + -1l2 = 0

Factor a trinomial.
(15 + -1l)(30 + l) = 0


Subproblem 1
Set the factor '(15 + -1l)' equal to zero and attempt to solve:

Simplifying
15 + -1l = 0

Solving
15 + -1l = 0

Move all terms containing l to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -1l = 0 + -15

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

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

Divide each side by '-1'.
l = 15

Simplifying
l = 15

Subproblem 2
Set the factor '(30 + l)' equal to zero and attempt to solve:

Simplifying
30 + l = 0

Solving
30 + l = 0

Move all terms containing l to the left, all other terms to the right.

Add '-30' to each side of the equation.
30 + -30 + l = 0 + -30

Combine like terms: 30 + -30 = 0
0 + l = 0 + -30
l = 0 + -30

Combine like terms: 0 + -30 = -30
l = -30

Simplifying
l = -30
Solution
l = {15, -30}

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