9=(x-1)+9x^2

Solution for 9=(x-1)+9x^2 equation:

Simplifying
9 = (x + -1) + 9x2

Reorder the terms:
9 = (-1 + x) + 9x2

Remove parenthesis around (-1 + x)
9 = -1 + x + 9x2

Solving
9 = -1 + x + 9x2

Solving for variable 'x'.

Combine like terms: 9 + 1 = 10
10 + -1x + -9x2 = -1 + x + 9x2 + 1 + -1x + -9x2

Reorder the terms:
10 + -1x + -9x2 = -1 + 1 + x + -1x + 9x2 + -9x2

Combine like terms: -1 + 1 = 0
10 + -1x + -9x2 = 0 + x + -1x + 9x2 + -9x2
10 + -1x + -9x2 = x + -1x + 9x2 + -9x2

Combine like terms: x + -1x = 0
10 + -1x + -9x2 = 0 + 9x2 + -9x2
10 + -1x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
10 + -1x + -9x2 = 0

Factor a trinomial.
(1 + -1x)(10 + 9x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(10 + 9x)' equal to zero and attempt to solve:

Simplifying
10 + 9x = 0

Solving
10 + 9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 0 + -10
9x = 0 + -10

Combine like terms: 0 + -10 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111
Solution
x = {1, -1.111111111}