0=-1.25x^2-9.75x-25.43

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Solution for 0=-1.25x^2-9.75x-25.43 equation: 


Simplifying
0 = -1.25x2 + -9.75x + -25.43

Reorder the terms:
0 = -25.43 + -9.75x + -1.25x2

Solving
0 = -25.43 + -9.75x + -1.25x2

Solving for variable 'x'.

Combine like terms: 0 + 25.43 = 25.43
25.43 + 9.75x + 1.25x2 = -25.43 + -9.75x + -1.25x2 + 25.43 + 9.75x + 1.25x2

Reorder the terms:
25.43 + 9.75x + 1.25x2 = -25.43 + 25.43 + -9.75x + 9.75x + -1.25x2 + 1.25x2

Combine like terms: -25.43 + 25.43 = 0.00
25.43 + 9.75x + 1.25x2 = 0.00 + -9.75x + 9.75x + -1.25x2 + 1.25x2
25.43 + 9.75x + 1.25x2 = -9.75x + 9.75x + -1.25x2 + 1.25x2

Combine like terms: -9.75x + 9.75x = 0.00
25.43 + 9.75x + 1.25x2 = 0.00 + -1.25x2 + 1.25x2
25.43 + 9.75x + 1.25x2 = -1.25x2 + 1.25x2

Combine like terms: -1.25x2 + 1.25x2 = 0.00
25.43 + 9.75x + 1.25x2 = 0.00

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

Divide each side by '1.25'.
20.344 + 7.8x + x2 = 0

Move the constant term to the right:

Add '-20.344' to each side of the equation.
20.344 + 7.8x + -20.344 + x2 = 0 + -20.344

Reorder the terms:
20.344 + -20.344 + 7.8x + x2 = 0 + -20.344

Combine like terms: 20.344 + -20.344 = 0.000
0.000 + 7.8x + x2 = 0 + -20.344
7.8x + x2 = 0 + -20.344

Combine like terms: 0 + -20.344 = -20.344
7.8x + x2 = -20.344

The x term is 7.8x.  Take half its coefficient (3.9).
Square it (15.21) and add it to both sides.

Add '15.21' to each side of the equation.
7.8x + 15.21 + x2 = -20.344 + 15.21

Reorder the terms:
15.21 + 7.8x + x2 = -20.344 + 15.21

Combine like terms: -20.344 + 15.21 = -5.134
15.21 + 7.8x + x2 = -5.134

Factor a perfect square on the left side:
(x + 3.9)(x + 3.9) = -5.134

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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