(3l+9)(3l-9)l=

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Solution for (3l+9)(3l-9)l= equation:


Simplifying
(3l + 9)(3l + -9) * l = 0

Reorder the terms:
(9 + 3l)(3l + -9) * l = 0

Reorder the terms:
(9 + 3l)(-9 + 3l) * l = 0

Reorder the terms for easier multiplication:
l(9 + 3l)(-9 + 3l) = 0

Multiply (9 + 3l) * (-9 + 3l)
l(9(-9 + 3l) + 3l * (-9 + 3l)) = 0
l((-9 * 9 + 3l * 9) + 3l * (-9 + 3l)) = 0
l((-81 + 27l) + 3l * (-9 + 3l)) = 0
l(-81 + 27l + (-9 * 3l + 3l * 3l)) = 0
l(-81 + 27l + (-27l + 9l2)) = 0

Combine like terms: 27l + -27l = 0
l(-81 + 0 + 9l2) = 0
l(-81 + 9l2) = 0
(-81 * l + 9l2 * l) = 0
(-81l + 9l3) = 0

Solving
-81l + 9l3 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), '9l'.
9l(-9 + l2) = 0

Factor a difference between two squares.
9l((3 + l)(-3 + l)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'l' equal to zero and attempt to solve:

Simplifying
l = 0

Solving
l = 0

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

Simplifying
l = 0

Subproblem 2
Set the factor '(3 + l)' equal to zero and attempt to solve:

Simplifying
3 + l = 0

Solving
3 + l = 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 + l = 0 + -3

Combine like terms: 3 + -3 = 0
0 + l = 0 + -3
l = 0 + -3

Combine like terms: 0 + -3 = -3
l = -3

Simplifying
l = -3

Subproblem 3
Set the factor '(-3 + l)' equal to zero and attempt to solve:

Simplifying
-3 + l = 0

Solving
-3 + l = 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 + l = 0 + 3

Combine like terms: -3 + 3 = 0
0 + l = 0 + 3
l = 0 + 3

Combine like terms: 0 + 3 = 3
l = 3

Simplifying
l = 3
Solution
l = {0, -3, 3}

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