8x^2+1=9x

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

Simplifying
8x2 + 1 = 9x

Reorder the terms:
1 + 8x2 = 9x

Solving
1 + 8x2 = 9x

Solving for variable 'x'.

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

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

Factor a trinomial.
(1 + -8x)(1 + -1x) = 0

Subproblem 1
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

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

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

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Subproblem 2
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
Solution
x = {0.125, 1}