9a^2-10a+1=

Solution for 9a^2-10a+1= equation:

Simplifying
9a2 + -10a + 1 = 0

Reorder the terms:
1 + -10a + 9a2 = 0

Solving
1 + -10a + 9a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -9a)(1 + -1a) = 0

Subproblem 1
Set the factor '(1 + -9a)' equal to zero and attempt to solve:

Simplifying
1 + -9a = 0

Solving
1 + -9a = 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 + -9a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9a = 0 + -1
-9a = 0 + -1

Combine like terms: 0 + -1 = -1
-9a = -1

Divide each side by '-9'.
a = 0.1111111111

Simplifying
a = 0.1111111111
Subproblem 2
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
Solution
a = {0.1111111111, 1}