8x^2+16x+87=0

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Solution for 8x^2+16x+87=0 equation:


Simplifying
8x2 + 16x + 87 = 0

Reorder the terms:
87 + 16x + 8x2 = 0

Solving
87 + 16x + 8x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
10.875 + 2x + x2 = 0

Move the constant term to the right:

Add '-10.875' to each side of the equation.
10.875 + 2x + -10.875 + x2 = 0 + -10.875

Reorder the terms:
10.875 + -10.875 + 2x + x2 = 0 + -10.875

Combine like terms: 10.875 + -10.875 = 0.000
0.000 + 2x + x2 = 0 + -10.875
2x + x2 = 0 + -10.875

Combine like terms: 0 + -10.875 = -10.875
2x + x2 = -10.875

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -10.875 + 1

Reorder the terms:
1 + 2x + x2 = -10.875 + 1

Combine like terms: -10.875 + 1 = -9.875
1 + 2x + x2 = -9.875

Factor a perfect square on the left side:
(x + 1)(x + 1) = -9.875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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