10x^2-285x+1350=0

Solution for 10x^2-285x+1350=0 equation:

Simplifying
10x2 + -285x + 1350 = 0

Reorder the terms:
1350 + -285x + 10x2 = 0

Solving
1350 + -285x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(270 + -57x + 2x2) = 0

Factor a trinomial.
5((6 + -1x)(45 + -2x)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(45 + -2x)' equal to zero and attempt to solve:

Simplifying
45 + -2x = 0

Solving
45 + -2x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -2x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -2x = 0 + -45
-2x = 0 + -45

Combine like terms: 0 + -45 = -45
-2x = -45

Divide each side by '-2'.
x = 22.5

Simplifying
x = 22.5
Solution
x = {6, 22.5}