6(x^2+1)=37x

Solution for 6(x^2+1)=37x equation:

Simplifying
6(x2 + 1) = 37x

Reorder the terms:
6(1 + x2) = 37x
(1 * 6 + x2 * 6) = 37x
(6 + 6x2) = 37x

Solving
6 + 6x2 = 37x

Solving for variable 'x'.

Reorder the terms:
6 + -37x + 6x2 = 37x + -37x

Combine like terms: 37x + -37x = 0
6 + -37x + 6x2 = 0

Factor a trinomial.
(1 + -6x)(6 + -1x) = 0

Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0.1666666667, 6}