15a^2+2=13a

Solution for 15a^2+2=13a equation:

Simplifying
15a2 + 2 = 13a

Reorder the terms:
2 + 15a2 = 13a

Solving
2 + 15a2 = 13a

Solving for variable 'a'.

Reorder the terms:
2 + -13a + 15a2 = 13a + -13a

Combine like terms: 13a + -13a = 0
2 + -13a + 15a2 = 0

Factor a trinomial.
(1 + -5a)(2 + -3a) = 0

Subproblem 1
Set the factor '(1 + -5a)' equal to zero and attempt to solve:

Simplifying
1 + -5a = 0

Solving
1 + -5a = 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 + -5a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5a = 0 + -1
-5a = 0 + -1

Combine like terms: 0 + -1 = -1
-5a = -1

Divide each side by '-5'.
a = 0.2

Simplifying
a = 0.2
Subproblem 2
Set the factor '(2 + -3a)' equal to zero and attempt to solve:

Simplifying
2 + -3a = 0

Solving
2 + -3a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3a = 0 + -2
-3a = 0 + -2

Combine like terms: 0 + -2 = -2
-3a = -2

Divide each side by '-3'.
a = 0.6666666667

Simplifying
a = 0.6666666667
Solution
a = {0.2, 0.6666666667}