10x^2-18x+12=0

Solution for 10x^2-18x+12=0 equation:

Simplifying
10x2 + -18x + 12 = 0

Reorder the terms:
12 + -18x + 10x2 = 0

Solving
12 + -18x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -9x + 5x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -9x + 5x2)' equal to zero and attempt to solve:

Simplifying
6 + -9x + 5x2 = 0

Solving
6 + -9x + 5x2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
1.2 + -1.8x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1.8x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1.8x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.8x + x2 = 0 + -1.2
-1.8x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.8x + x2 = -1.2

The x term is -1.8x.  Take half its coefficient (-0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
-1.8x + 0.81 + x2 = -1.2 + 0.81

Reorder the terms:
0.81 + -1.8x + x2 = -1.2 + 0.81

Combine like terms: -1.2 + 0.81 = -0.39
0.81 + -1.8x + x2 = -0.39

Factor a perfect square on the left side:
(x + -0.9)(x + -0.9) = -0.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.