15a^2-3a=3a-7a

Solution for 15a^2-3a=3a-7a equation:

Simplifying
15a2 + -3a = 3a + -7a

Reorder the terms:
-3a + 15a2 = 3a + -7a

Combine like terms: 3a + -7a = -4a
-3a + 15a2 = -4a

Solving
-3a + 15a2 = -4a

Solving for variable 'a'.

Reorder the terms:
-3a + 4a + 15a2 = -4a + 4a

Combine like terms: -3a + 4a = 1a
1a + 15a2 = -4a + 4a

Combine like terms: -4a + 4a = 0
1a + 15a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + 15a) = 0

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 '(1 + 15a)' equal to zero and attempt to solve:

Simplifying
1 + 15a = 0

Solving
1 + 15a = 0

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

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

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

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

Divide each side by '15'.
a = -0.06666666667

Simplifying
a = -0.06666666667
Solution
a = {0, -0.06666666667}