8x^2+12x+7=0

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Solution for 8x^2+12x+7=0 equation:


Simplifying
8x2 + 12x + 7 = 0

Reorder the terms:
7 + 12x + 8x2 = 0

Solving
7 + 12x + 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'.
0.875 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + 1.5x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + 1.5x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + 1.5x + x2 = 0 + -0.875
1.5x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
1.5x + x2 = -0.875

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -0.875 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -0.875 + 0.5625

Combine like terms: -0.875 + 0.5625 = -0.3125
0.5625 + 1.5x + x2 = -0.3125

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -0.3125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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