3x*72x+1=37

Solution for 3x*72x+1=37 equation:

Simplifying
3x * 72x + 1 = 37

Reorder the terms for easier multiplication:
3 * 72x * x + 1 = 37

Multiply 3 * 72
216x * x + 1 = 37

Multiply x * x
216x2 + 1 = 37

Reorder the terms:
1 + 216x2 = 37

Solving
1 + 216x2 = 37

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 216x2 = 37 + -1

Combine like terms: 1 + -1 = 0
0 + 216x2 = 37 + -1
216x2 = 37 + -1

Combine like terms: 37 + -1 = 36
216x2 = 36

Divide each side by '216'.
x2 = 0.1666666667

Simplifying
x2 = 0.1666666667

Take the square root of each side:
x = {-0.408248291, 0.408248291}