37x^2-432x+1260=0

Solution for 37x^2-432x+1260=0 equation:

Simplifying
37x2 + -432x + 1260 = 0

Reorder the terms:
1260 + -432x + 37x2 = 0

Solving
1260 + -432x + 37x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(210 + -37x)(6 + -1x) = 0

Subproblem 1
Set the factor '(210 + -37x)' equal to zero and attempt to solve:

Simplifying
210 + -37x = 0

Solving
210 + -37x = 0

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

Add '-210' to each side of the equation.
210 + -210 + -37x = 0 + -210

Combine like terms: 210 + -210 = 0
0 + -37x = 0 + -210
-37x = 0 + -210

Combine like terms: 0 + -210 = -210
-37x = -210

Divide each side by '-37'.
x = 5.675675676

Simplifying
x = 5.675675676
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {5.675675676, 6}