0=x*x+2.5x+16.5

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Solution for 0=x*x+2.5x+16.5 equation: 


Simplifying
0 = x * x + 2.5x + 16.5

Multiply x * x
0 = x2 + 2.5x + 16.5

Reorder the terms:
0 = 16.5 + 2.5x + x2

Solving
0 = 16.5 + 2.5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -16.5 = -16.5
-16.5 + -2.5x + -1x2 = 16.5 + 2.5x + x2 + -16.5 + -2.5x + -1x2

Reorder the terms:
-16.5 + -2.5x + -1x2 = 16.5 + -16.5 + 2.5x + -2.5x + x2 + -1x2

Combine like terms: 16.5 + -16.5 = 0.0
-16.5 + -2.5x + -1x2 = 0.0 + 2.5x + -2.5x + x2 + -1x2
-16.5 + -2.5x + -1x2 = 2.5x + -2.5x + x2 + -1x2

Combine like terms: 2.5x + -2.5x = 0.0
-16.5 + -2.5x + -1x2 = 0.0 + x2 + -1x2
-16.5 + -2.5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16.5 + -2.5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
16.5 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-16.5' to each side of the equation.
16.5 + 2.5x + -16.5 + x2 = 0 + -16.5

Reorder the terms:
16.5 + -16.5 + 2.5x + x2 = 0 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + 2.5x + x2 = 0 + -16.5
2.5x + x2 = 0 + -16.5

Combine like terms: 0 + -16.5 = -16.5
2.5x + x2 = -16.5

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 = -16.5 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -16.5 + 1.5625

Combine like terms: -16.5 + 1.5625 = -14.9375
1.5625 + 2.5x + x2 = -14.9375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -14.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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