(14-2x)2x=144

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


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

Reorder the terms for easier multiplication:
2x(14 + -2x) = 144
(14 * 2x + -2x * 2x) = 144
(28x + -4x2) = 144

Solving
28x + -4x2 = 144

Solving for variable 'x'.

Reorder the terms:
-144 + 28x + -4x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 28x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-36 + 7x + -1x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-36 + 7x + -1x2)' equal to zero and attempt to solve:

Simplifying
-36 + 7x + -1x2 = 0

Solving
-36 + 7x + -1x2 = 0

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

Divide each side by '-1'.
36 + -7x + x2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -7x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -7x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -7x + x2 = 0 + -36
-7x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-7x + x2 = -36

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 = -36 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -36 + 12.25

Combine like terms: -36 + 12.25 = -23.75
12.25 + -7x + x2 = -23.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -23.75

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.

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