0=144x^2-24x+1

Solution for 0=144x^2-24x+1 equation:

Simplifying
0 = 144x2 + -24x + 1

Reorder the terms:
0 = 1 + -24x + 144x2

Solving
0 = 1 + -24x + 144x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + 24x + -144x2 = 1 + -24x + 144x2 + -1 + 24x + -144x2

Reorder the terms:
-1 + 24x + -144x2 = 1 + -1 + -24x + 24x + 144x2 + -144x2

Combine like terms: 1 + -1 = 0
-1 + 24x + -144x2 = 0 + -24x + 24x + 144x2 + -144x2
-1 + 24x + -144x2 = -24x + 24x + 144x2 + -144x2

Combine like terms: -24x + 24x = 0
-1 + 24x + -144x2 = 0 + 144x2 + -144x2
-1 + 24x + -144x2 = 144x2 + -144x2

Combine like terms: 144x2 + -144x2 = 0
-1 + 24x + -144x2 = 0

Factor a trinomial.
(-1 + 12x)(1 + -12x) = 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 '(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
Solution
x = {0.08333333333, 0.08333333333}