2x^2-32x+144=0

Solution for 2x^2-32x+144=0 equation:

Simplifying
2x2 + -32x + 144 = 0

Reorder the terms:
144 + -32x + 2x2 = 0

Solving
144 + -32x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(72 + -16x + x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(72 + -16x + x2)' equal to zero and attempt to solve:

Simplifying
72 + -16x + x2 = 0

Solving
72 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -16x + -72 + x2 = 0 + -72

Reorder the terms:
72 + -72 + -16x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -16x + x2 = 0 + -72
-16x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72
-16x + x2 = -72

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -72 + 64

Reorder the terms:
64 + -16x + x2 = -72 + 64

Combine like terms: -72 + 64 = -8
64 + -16x + x2 = -8

Factor a perfect square on the left side:
(x + -8)(x + -8) = -8

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.