9x^2-151x+610=0

Solution for 9x^2-151x+610=0 equation:

Simplifying
9x2 + -151x + 610 = 0

Reorder the terms:
610 + -151x + 9x2 = 0

Solving
610 + -151x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(61 + -9x)(10 + -1x) = 0

Subproblem 1
Set the factor '(61 + -9x)' equal to zero and attempt to solve:

Simplifying
61 + -9x = 0

Solving
61 + -9x = 0

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

Add '-61' to each side of the equation.
61 + -61 + -9x = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -9x = 0 + -61
-9x = 0 + -61

Combine like terms: 0 + -61 = -61
-9x = -61

Divide each side by '-9'.
x = 6.777777778

Simplifying
x = 6.777777778
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 = {6.777777778, 10}