7a(3a-9)=0

Solution for 7a(3a-9)=0 equation:

Simplifying
7a(3a + -9) = 0

Reorder the terms:
7a(-9 + 3a) = 0
(-9 * 7a + 3a * 7a) = 0
(-63a + 21a2) = 0

Solving
-63a + 21a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '21a'.
21a(-3 + a) = 0

Ignore the factor 21.
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}