x^2+2.5x+6.25=0

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Solution for x^2+2.5x+6.25=0 equation: 


Simplifying
x2 + 2.5x + 6.25 = 0

Reorder the terms:
6.25 + 2.5x + x2 = 0

Solving
6.25 + 2.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + 2.5x + -6.25 + x2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + 2.5x + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + 2.5x + x2 = 0 + -6.25
2.5x + x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
2.5x + x2 = -6.25

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -6.25 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -6.25 + 1.5625

Combine like terms: -6.25 + 1.5625 = -4.6875
1.5625 + 2.5x + x2 = -4.6875

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -4.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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