8x^2+8x=-9

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Solution for 8x^2+8x=-9 equation:


Simplifying
8x2 + 8x = -9

Reorder the terms:
8x + 8x2 = -9

Solving
8x + 8x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 8x + 8x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 8x + 8x2 = 0

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

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

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + x + x2 = 0 + -1.125
x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
x + x2 = -1.125

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -1.125 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -1.125 + 0.25

Combine like terms: -1.125 + 0.25 = -0.875
1.25 + x2 = -0.875

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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