36x^2-48x+16=1

Solution for 36x^2-48x+16=1 equation:

Simplifying
36x2 + -48x + 16 = 1

Reorder the terms:
16 + -48x + 36x2 = 1

Solving
16 + -48x + 36x2 = 1

Solving for variable 'x'.

Reorder the terms:
16 + -1 + -48x + 36x2 = 1 + -1

Combine like terms: 16 + -1 = 15
15 + -48x + 36x2 = 1 + -1

Combine like terms: 1 + -1 = 0
15 + -48x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -16x + 12x2) = 0

Factor a trinomial.
3((1 + -2x)(5 + -6x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {0.5, 0.8333333333}