2x^2+20x+73=-13

Solution for 2x^2+20x+73=-13 equation:

Simplifying
2x2 + 20x + 73 = -13

Reorder the terms:
73 + 20x + 2x2 = -13

Solving
73 + 20x + 2x2 = -13

Solving for variable 'x'.

Reorder the terms:
73 + 13 + 20x + 2x2 = -13 + 13

Combine like terms: 73 + 13 = 86
86 + 20x + 2x2 = -13 + 13

Combine like terms: -13 + 13 = 0
86 + 20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(43 + 10x + x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(43 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
43 + 10x + x2 = 0

Solving
43 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + 10x + -43 + x2 = 0 + -43

Reorder the terms:
43 + -43 + 10x + x2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 10x + x2 = 0 + -43
10x + x2 = 0 + -43

Combine like terms: 0 + -43 = -43
10x + x2 = -43

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -43 + 25

Reorder the terms:
25 + 10x + x2 = -43 + 25

Combine like terms: -43 + 25 = -18
25 + 10x + x2 = -18

Factor a perfect square on the left side:
(x + 5)(x + 5) = -18

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.