x+1=1+9x^2

Solution for x+1=1+9x^2 equation:

Simplifying
x + 1 = 1 + 9x2

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

Add '-1' to each side of the equation.
1 + -1 + x = 1 + -1 + 9x2

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

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

Solving
x = 9x2

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -9x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 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 + -9x = 0 + -1

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

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

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

Simplifying
x = 0.1111111111
Solution
x = {0, 0.1111111111}