=-2x^2-16x-40

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Solution for =-2x^2-16x-40 equation: 


Simplifying
0 = -2x2 + -16x + -40

Reorder the terms:
0 = -40 + -16x + -2x2

Solving
0 = -40 + -16x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 40 = 40
40 + 16x + 2x2 = -40 + -16x + -2x2 + 40 + 16x + 2x2

Reorder the terms:
40 + 16x + 2x2 = -40 + 40 + -16x + 16x + -2x2 + 2x2

Combine like terms: -40 + 40 = 0
40 + 16x + 2x2 = 0 + -16x + 16x + -2x2 + 2x2
40 + 16x + 2x2 = -16x + 16x + -2x2 + 2x2

Combine like terms: -16x + 16x = 0
40 + 16x + 2x2 = 0 + -2x2 + 2x2
40 + 16x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
40 + 16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 8x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
20 + 8x + x2 = 0

Solving
20 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 8x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + 8x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 8x + x2 = 0 + -20
8x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
8x + x2 = -20

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -20 + 16

Reorder the terms:
16 + 8x + x2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + 8x + x2 = -4

Factor a perfect square on the left side:
(x + 4)(x + 4) = -4

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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