2x(x-7)=-37

Solution for 2x(x-7)=-37 equation:

Simplifying
2x(x + -7) = -37

Reorder the terms:
2x(-7 + x) = -37
(-7 * 2x + x * 2x) = -37
(-14x + 2x2) = -37

Solving
-14x + 2x2 = -37

Solving for variable 'x'.

Reorder the terms:
37 + -14x + 2x2 = -37 + 37

Combine like terms: -37 + 37 = 0
37 + -14x + 2x2 = 0

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

Divide each side by '2'.
18.5 + -7x + x2 = 0

Move the constant term to the right:

Add '-18.5' to each side of the equation.
18.5 + -7x + -18.5 + x2 = 0 + -18.5

Reorder the terms:
18.5 + -18.5 + -7x + x2 = 0 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + -7x + x2 = 0 + -18.5
-7x + x2 = 0 + -18.5

Combine like terms: 0 + -18.5 = -18.5
-7x + x2 = -18.5

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 = -18.5 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -18.5 + 12.25

Combine like terms: -18.5 + 12.25 = -6.25
12.25 + -7x + x2 = -6.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.