x^2+8x+17=0forx

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Solution for x^2+8x+17=0forx equation:


Simplifying
x2 + 8x + 17 = 0forx

Reorder the terms:
17 + 8x + x2 = 0forx

Anything times zero is zero.
17 + 8x + x2 = 0forx

Solving
17 + 8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 8x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 8x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 8x + x2 = 0 + -17
8x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
8x + x2 = -17

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 = -17 + 16

Reorder the terms:
16 + 8x + x2 = -17 + 16

Combine like terms: -17 + 16 = -1
16 + 8x + x2 = -1

Factor a perfect square on the left side:
(x + 4)(x + 4) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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