-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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(37 + 14x + 2x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(37 + 14x + 2x2)' equal to zero and attempt to solve:

Simplifying
37 + 14x + 2x2 = 0

Solving
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.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.