2x*2x-10x+12=0

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

Simplifying
2x * 2x + -10x + 12 = 0

Reorder the terms for easier multiplication:
2 * 2x * x + -10x + 12 = 0

Multiply 2 * 2
4x * x + -10x + 12 = 0

Multiply x * x
4x2 + -10x + 12 = 0

Reorder the terms:
12 + -10x + 4x2 = 0

Solving
12 + -10x + 4x2 = 0

Solving for variable 'x'.

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

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

Simplifying
6 + -5x + 2x2 = 0

Solving
6 + -5x + 2x2 = 0

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

Divide each side by '2'.
3 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.5x + x2 = 0 + -3
-2.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.5x + x2 = -3

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -3 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -3 + 1.5625

Combine like terms: -3 + 1.5625 = -1.4375
1.5625 + -2.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -1.4375

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.