0=6x^2-36x+30

Solution for 0=6x^2-36x+30 equation:

Simplifying
0 = 6x2 + -36x + 30

Reorder the terms:
0 = 30 + -36x + 6x2

Solving
0 = 30 + -36x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -30 = -30
-30 + 36x + -6x2 = 30 + -36x + 6x2 + -30 + 36x + -6x2

Reorder the terms:
-30 + 36x + -6x2 = 30 + -30 + -36x + 36x + 6x2 + -6x2

Combine like terms: 30 + -30 = 0
-30 + 36x + -6x2 = 0 + -36x + 36x + 6x2 + -6x2
-30 + 36x + -6x2 = -36x + 36x + 6x2 + -6x2

Combine like terms: -36x + 36x = 0
-30 + 36x + -6x2 = 0 + 6x2 + -6x2
-30 + 36x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-30 + 36x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-5 + 6x + -1x2) = 0

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

Ignore the factor 6.
Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {5, 1}