0=l^2-35l+264

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Solution for 0=l^2-35l+264 equation: 


Simplifying
0 = l2 + -35l + 264

Reorder the terms:
0 = 264 + -35l + l2

Solving
0 = 264 + -35l + l2

Solving for variable 'l'.

Combine like terms: 0 + -264 = -264
-264 + 35l + -1l2 = 264 + -35l + l2 + -264 + 35l + -1l2

Reorder the terms:
-264 + 35l + -1l2 = 264 + -264 + -35l + 35l + l2 + -1l2

Combine like terms: 264 + -264 = 0
-264 + 35l + -1l2 = 0 + -35l + 35l + l2 + -1l2
-264 + 35l + -1l2 = -35l + 35l + l2 + -1l2

Combine like terms: -35l + 35l = 0
-264 + 35l + -1l2 = 0 + l2 + -1l2
-264 + 35l + -1l2 = l2 + -1l2

Combine like terms: l2 + -1l2 = 0
-264 + 35l + -1l2 = 0

Factor a trinomial.
(-24 + l)(11 + -1l) = 0


Subproblem 1
Set the factor '(-24 + l)' equal to zero and attempt to solve:

Simplifying
-24 + l = 0

Solving
-24 + l = 0

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

Add '24' to each side of the equation.
-24 + 24 + l = 0 + 24

Combine like terms: -24 + 24 = 0
0 + l = 0 + 24
l = 0 + 24

Combine like terms: 0 + 24 = 24
l = 24

Simplifying
l = 24

Subproblem 2
Set the factor '(11 + -1l)' equal to zero and attempt to solve:

Simplifying
11 + -1l = 0

Solving
11 + -1l = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1l = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1l = 0 + -11
-1l = 0 + -11

Combine like terms: 0 + -11 = -11
-1l = -11

Divide each side by '-1'.
l = 11

Simplifying
l = 11
Solution
l = {24, 11}

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