Simplifying
3a2 = 9a
Solving
Solving for variable 'a'.
Reorder the terms:
-9a + 3a2 = 9a + -9a
Combine like terms: 9a + -9a = 0
-9a + 3a2 = 0
Factor out the Greatest Common Factor (GCF), '3a'.
3a(-3 + a) = 0
Ignore the factor 3.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:
a = 0
Move all terms containing a to the left, all other terms to the right.
Subproblem 2
Set the factor '(-3 + a)' equal to zero and attempt to solve:
-3 + a = 0
Add '3' to each side of the equation.
-3 + 3 + a = 0 + 3
Combine like terms: -3 + 3 = 0
0 + a = 0 + 3
a = 0 + 3
Combine like terms: 0 + 3 = 3
a = 3
Solution
a = {0, 3}
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Answers & Comments
Simplifying
3a2 = 9a
Solving
3a2 = 9a
Solving for variable 'a'.
Reorder the terms:
-9a + 3a2 = 9a + -9a
Combine like terms: 9a + -9a = 0
-9a + 3a2 = 0
Factor out the Greatest Common Factor (GCF), '3a'.
3a(-3 + a) = 0
Ignore the factor 3.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:
Simplifying
a = 0
Solving
a = 0
Move all terms containing a to the left, all other terms to the right.
Simplifying
a = 0
Subproblem 2
Set the factor '(-3 + a)' equal to zero and attempt to solve:
Simplifying
-3 + a = 0
Solving
-3 + a = 0
Move all terms containing a to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + a = 0 + 3
Combine like terms: -3 + 3 = 0
0 + a = 0 + 3
a = 0 + 3
Combine like terms: 0 + 3 = 3
a = 3
Simplifying
a = 3
Solution
a = {0, 3}