15a^2-a=16

Solution for 15a^2-a=16 equation:

Simplifying
15a2 + -1a = 16

Reorder the terms:
-1a + 15a2 = 16

Solving
-1a + 15a2 = 16

Solving for variable 'a'.

Reorder the terms:
-16 + -1a + 15a2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -1a + 15a2 = 0

Factor a trinomial.
(-1 + -1a)(16 + -15a) = 0

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

Simplifying
-1 + -1a = 0

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

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

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

Divide each side by '-1'.
a = -1

Simplifying
a = -1
Subproblem 2
Set the factor '(16 + -15a)' equal to zero and attempt to solve:

Simplifying
16 + -15a = 0

Solving
16 + -15a = 0

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

Add '-16' to each side of the equation.
16 + -16 + -15a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -15a = 0 + -16
-15a = 0 + -16

Combine like terms: 0 + -16 = -16
-15a = -16

Divide each side by '-15'.
a = 1.066666667

Simplifying
a = 1.066666667
Solution
a = {-1, 1.066666667}