x^2+8x=-41

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Solution for x^2+8x=-41 equation:


Simplifying
x2 + 8x = -41

Reorder the terms:
8x + x2 = -41

Solving
8x + x2 = -41

Solving for variable 'x'.

Reorder the terms:
41 + 8x + x2 = -41 + 41

Combine like terms: -41 + 41 = 0
41 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-41' to each side of the equation.
41 + 8x + -41 + x2 = 0 + -41

Reorder the terms:
41 + -41 + 8x + x2 = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 8x + x2 = 0 + -41
8x + x2 = 0 + -41

Combine like terms: 0 + -41 = -41
8x + x2 = -41

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 = -41 + 16

Reorder the terms:
16 + 8x + x2 = -41 + 16

Combine like terms: -41 + 16 = -25
16 + 8x + x2 = -25

Factor a perfect square on the left side:
(x + 4)(x + 4) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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