36x^2-84x+49=1

Solution for 36x^2-84x+49=1 equation:

Simplifying
36x2 + -84x + 49 = 1

Reorder the terms:
49 + -84x + 36x2 = 1

Solving
49 + -84x + 36x2 = 1

Solving for variable 'x'.

Reorder the terms:
49 + -1 + -84x + 36x2 = 1 + -1

Combine like terms: 49 + -1 = 48
48 + -84x + 36x2 = 1 + -1

Combine like terms: 1 + -1 = 0
48 + -84x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(4 + -7x + 3x2) = 0

Factor a trinomial.
12((1 + -1x)(4 + -3x)) = 0

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1, 1.333333333}