14(x-4)=x(x+3)

Solution for 14(x-4)=x(x+3) equation:

Simplifying
14(x + -4) = x(x + 3)

Reorder the terms:
14(-4 + x) = x(x + 3)
(-4 * 14 + x * 14) = x(x + 3)
(-56 + 14x) = x(x + 3)

Reorder the terms:
-56 + 14x = x(3 + x)
-56 + 14x = (3 * x + x * x)
-56 + 14x = (3x + x2)

Solving
-56 + 14x = 3x + x2

Solving for variable 'x'.

Combine like terms: 14x + -3x = 11x
-56 + 11x + -1x2 = 3x + x2 + -3x + -1x2

Reorder the terms:
-56 + 11x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-56 + 11x + -1x2 = 0 + x2 + -1x2
-56 + 11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-56 + 11x + -1x2 = 0

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

Divide each side by '-1'.
56 + -11x + x2 = 0

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -11x + -56 + x2 = 0 + -56

Reorder the terms:
56 + -56 + -11x + x2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -11x + x2 = 0 + -56
-11x + x2 = 0 + -56

Combine like terms: 0 + -56 = -56
-11x + x2 = -56

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -56 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -56 + 30.25

Combine like terms: -56 + 30.25 = -25.75
30.25 + -11x + x2 = -25.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -25.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.