12(x^2+1)=145x

Solution for 12(x^2+1)=145x equation:

Simplifying
12(x2 + 1) = 145x

Reorder the terms:
12(1 + x2) = 145x
(1 * 12 + x2 * 12) = 145x
(12 + 12x2) = 145x

Solving
12 + 12x2 = 145x

Solving for variable 'x'.

Reorder the terms:
12 + -145x + 12x2 = 145x + -145x

Combine like terms: 145x + -145x = 0
12 + -145x + 12x2 = 0

Factor a trinomial.
(1 + -12x)(12 + -1x) = 0

Subproblem 1
Set the factor '(1 + -12x)' equal to zero and attempt to solve:

Simplifying
1 + -12x = 0

Solving
1 + -12x = 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 + -12x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -12x = 0 + -1
-12x = 0 + -1

Combine like terms: 0 + -1 = -1
-12x = -1

Divide each side by '-12'.
x = 0.08333333333

Simplifying
x = 0.08333333333
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {0.08333333333, 12}