6x^2-3x+2=2

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


Simplifying
6x2 + -3x + 2 = 2

Reorder the terms:
2 + -3x + 6x2 = 2

Add '-2' to each side of the equation.
2 + -3x + -2 + 6x2 = 2 + -2

Reorder the terms:
2 + -2 + -3x + 6x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -3x + 6x2 = 2 + -2
-3x + 6x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-3x + 6x2 = 0

Solving
-3x + 6x2 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

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 '(-1 + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 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 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0, 0.5}

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