(14-2x)x=144

Solution for (14-2x)x=144 equation:

Simplifying
(14 + -2x) * x = 144

Reorder the terms for easier multiplication:
x(14 + -2x) = 144
(14 * x + -2x * x) = 144
(14x + -2x2) = 144

Solving
14x + -2x2 = 144

Solving for variable 'x'.

Reorder the terms:
-144 + 14x + -2x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + 7x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-72 + 7x + -1x2)' equal to zero and attempt to solve:

Simplifying
-72 + 7x + -1x2 = 0

Solving
-72 + 7x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
72 + -7x + x2 = 0

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -7x + -72 + x2 = 0 + -72

Reorder the terms:
72 + -72 + -7x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -7x + x2 = 0 + -72
-7x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72
-7x + x2 = -72

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -72 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -72 + 12.25

Combine like terms: -72 + 12.25 = -59.75
12.25 + -7x + x2 = -59.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -59.75

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.