13(x+4)=40-2x(x-7)

Solution for 13(x+4)=40-2x(x-7) equation:

Simplifying
13(x + 4) = 40 + -2x(x + -7)

Reorder the terms:
13(4 + x) = 40 + -2x(x + -7)
(4 * 13 + x * 13) = 40 + -2x(x + -7)
(52 + 13x) = 40 + -2x(x + -7)

Reorder the terms:
52 + 13x = 40 + -2x(-7 + x)
52 + 13x = 40 + (-7 * -2x + x * -2x)
52 + 13x = 40 + (14x + -2x2)

Solving
52 + 13x = 40 + 14x + -2x2

Solving for variable 'x'.

Reorder the terms:
52 + -40 + 13x + -14x + 2x2 = 40 + 14x + -2x2 + -40 + -14x + 2x2

Combine like terms: 52 + -40 = 12
12 + 13x + -14x + 2x2 = 40 + 14x + -2x2 + -40 + -14x + 2x2

Combine like terms: 13x + -14x = -1x
12 + -1x + 2x2 = 40 + 14x + -2x2 + -40 + -14x + 2x2

Reorder the terms:
12 + -1x + 2x2 = 40 + -40 + 14x + -14x + -2x2 + 2x2

Combine like terms: 40 + -40 = 0
12 + -1x + 2x2 = 0 + 14x + -14x + -2x2 + 2x2
12 + -1x + 2x2 = 14x + -14x + -2x2 + 2x2

Combine like terms: 14x + -14x = 0
12 + -1x + 2x2 = 0 + -2x2 + 2x2
12 + -1x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
12 + -1x + 2x2 = 0

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

Divide each side by '2'.
6 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -0.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -0.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5x + x2 = 0 + -6
-0.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-0.5x + x2 = -6

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -6 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -6 + 0.0625

Combine like terms: -6 + 0.0625 = -5.9375
0.0625 + -0.5x + x2 = -5.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -5.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.