1=9x^2+8x

Solution for 1=9x^2+8x equation:

Simplifying
1 = 9x2 + 8x

Reorder the terms:
1 = 8x + 9x2

Solving
1 = 8x + 9x2

Solving for variable 'x'.

Reorder the terms:
1 + -8x + -9x2 = 8x + -8x + 9x2 + -9x2

Combine like terms: 8x + -8x = 0
1 + -8x + -9x2 = 0 + 9x2 + -9x2
1 + -8x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
1 + -8x + -9x2 = 0

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

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0.1111111111, -1}