-x(x+4)-41=2-23

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Solution for -x(x+4)-41=2-23 equation: 


Simplifying
-1x(x + 4) + -41 = 2 + -23

Reorder the terms:
-1x(4 + x) + -41 = 2 + -23
(4 * -1x + x * -1x) + -41 = 2 + -23
(-4x + -1x2) + -41 = 2 + -23

Reorder the terms:
-41 + -4x + -1x2 = 2 + -23

Combine like terms: 2 + -23 = -21
-41 + -4x + -1x2 = -21

Solving
-41 + -4x + -1x2 = -21

Solving for variable 'x'.

Reorder the terms:
-41 + 21 + -4x + -1x2 = -21 + 21

Combine like terms: -41 + 21 = -20
-20 + -4x + -1x2 = -21 + 21

Combine like terms: -21 + 21 = 0
-20 + -4x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 4x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(20 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
20 + 4x + x2 = 0

Solving
20 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 4x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + 4x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 4x + x2 = 0 + -20
4x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
4x + x2 = -20

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -20 + 4

Reorder the terms:
4 + 4x + x2 = -20 + 4

Combine like terms: -20 + 4 = -16
4 + 4x + x2 = -16

Factor a perfect square on the left side:
(x + 2)(x + 2) = -16

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.

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