2(x^2+10x+25)+8=-8

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Solution for 2(x^2+10x+25)+8=-8 equation: 


Simplifying
2(x2 + 10x + 25) + 8 = -8

Reorder the terms:
2(25 + 10x + x2) + 8 = -8
(25 * 2 + 10x * 2 + x2 * 2) + 8 = -8
(50 + 20x + 2x2) + 8 = -8

Reorder the terms:
50 + 8 + 20x + 2x2 = -8

Combine like terms: 50 + 8 = 58
58 + 20x + 2x2 = -8

Solving
58 + 20x + 2x2 = -8

Solving for variable 'x'.

Reorder the terms:
58 + 8 + 20x + 2x2 = -8 + 8

Combine like terms: 58 + 8 = 66
66 + 20x + 2x2 = -8 + 8

Combine like terms: -8 + 8 = 0
66 + 20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + 10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(33 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
33 + 10x + x2 = 0

Solving
33 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 10x + -33 + x2 = 0 + -33

Reorder the terms:
33 + -33 + 10x + x2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 10x + x2 = 0 + -33
10x + x2 = 0 + -33

Combine like terms: 0 + -33 = -33
10x + x2 = -33

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 = -33 + 25

Reorder the terms:
25 + 10x + x2 = -33 + 25

Combine like terms: -33 + 25 = -8
25 + 10x + x2 = -8

Factor a perfect square on the left side:
(x + 5)(x + 5) = -8

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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