9(x^2+1)=82x

Solution for 9(x^2+1)=82x equation:

Simplifying
9(x2 + 1) = 82x

Reorder the terms:
9(1 + x2) = 82x
(1 * 9 + x2 * 9) = 82x
(9 + 9x2) = 82x

Solving
9 + 9x2 = 82x

Solving for variable 'x'.

Reorder the terms:
9 + -82x + 9x2 = 82x + -82x

Combine like terms: 82x + -82x = 0
9 + -82x + 9x2 = 0

Factor a trinomial.
(1 + -9x)(9 + -1x) = 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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {0.1111111111, 9}