9x^2-127x+370=0

Solution for 9x^2-127x+370=0 equation:

Simplifying
9x2 + -127x + 370 = 0

Reorder the terms:
370 + -127x + 9x2 = 0

Solving
370 + -127x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(37 + -9x)(10 + -1x) = 0

Subproblem 1
Set the factor '(37 + -9x)' equal to zero and attempt to solve:

Simplifying
37 + -9x = 0

Solving
37 + -9x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -9x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -9x = 0 + -37
-9x = 0 + -37

Combine like terms: 0 + -37 = -37
-9x = -37

Divide each side by '-9'.
x = 4.111111111

Simplifying
x = 4.111111111
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {4.111111111, 10}