2=6x^2-18x+14

Solution for 2=6x^2-18x+14 equation:

Simplifying
2 = 6x2 + -18x + 14

Reorder the terms:
2 = 14 + -18x + 6x2

Solving
2 = 14 + -18x + 6x2

Solving for variable 'x'.

Combine like terms: 2 + -14 = -12
-12 + 18x + -6x2 = 14 + -18x + 6x2 + -14 + 18x + -6x2

Reorder the terms:
-12 + 18x + -6x2 = 14 + -14 + -18x + 18x + 6x2 + -6x2

Combine like terms: 14 + -14 = 0
-12 + 18x + -6x2 = 0 + -18x + 18x + 6x2 + -6x2
-12 + 18x + -6x2 = -18x + 18x + 6x2 + -6x2

Combine like terms: -18x + 18x = 0
-12 + 18x + -6x2 = 0 + 6x2 + -6x2
-12 + 18x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + 18x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + 3x + -1x2) = 0

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

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

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

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

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

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

Simplifying
x = 2
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 = {2, 1}