3x^2-10x+6=6

Solution for 3x^2-10x+6=6 equation:

Simplifying
3x2 + -10x + 6 = 6

Reorder the terms:
6 + -10x + 3x2 = 6

Add '-6' to each side of the equation.
6 + -10x + -6 + 3x2 = 6 + -6

Reorder the terms:
6 + -6 + -10x + 3x2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -10x + 3x2 = 6 + -6
-10x + 3x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-10x + 3x2 = 0

Solving
-10x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + 3x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-10 + 3x)' equal to zero and attempt to solve:

Simplifying
-10 + 3x = 0

Solving
-10 + 3x = 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 + 3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 0 + 10
3x = 0 + 10

Combine like terms: 0 + 10 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {0, 3.333333333}