f(0)=0.03x^2+0.5x+31.9

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Solution for f(0)=0.03x^2+0.5x+31.9 equation: 


Simplifying
f(0) = 0.03x2 + 0.5x + 31.9

Reorder the terms for easier multiplication:
0f = 0.03x2 + 0.5x + 31.9

Anything times zero is zero.
0f = 0.03x2 + 0.5x + 31.9

Reorder the terms:
0 = 31.9 + 0.5x + 0.03x2

Solving
0 = 31.9 + 0.5x + 0.03x2

Solving for variable 'x'.

Combine like terms: 0 + -31.9 = -31.9
-31.9 + -0.5x + -0.03x2 = 31.9 + 0.5x + 0.03x2 + -31.9 + -0.5x + -0.03x2

Reorder the terms:
-31.9 + -0.5x + -0.03x2 = 31.9 + -31.9 + 0.5x + -0.5x + 0.03x2 + -0.03x2

Combine like terms: 31.9 + -31.9 = 0.0
-31.9 + -0.5x + -0.03x2 = 0.0 + 0.5x + -0.5x + 0.03x2 + -0.03x2
-31.9 + -0.5x + -0.03x2 = 0.5x + -0.5x + 0.03x2 + -0.03x2

Combine like terms: 0.5x + -0.5x = 0.0
-31.9 + -0.5x + -0.03x2 = 0.0 + 0.03x2 + -0.03x2
-31.9 + -0.5x + -0.03x2 = 0.03x2 + -0.03x2

Combine like terms: 0.03x2 + -0.03x2 = 0.00
-31.9 + -0.5x + -0.03x2 = 0.00

Begin completing the square.  Divide all terms by
-0.03 the coefficient of the squared term: 

Divide each side by '-0.03'.
1063.333333 + 16.66666667x + x2 = 0

Move the constant term to the right:

Add '-1063.333333' to each side of the equation.
1063.333333 + 16.66666667x + -1063.333333 + x2 = 0 + -1063.333333

Reorder the terms:
1063.333333 + -1063.333333 + 16.66666667x + x2 = 0 + -1063.333333

Combine like terms: 1063.333333 + -1063.333333 = 0.000000
0.000000 + 16.66666667x + x2 = 0 + -1063.333333
16.66666667x + x2 = 0 + -1063.333333

Combine like terms: 0 + -1063.333333 = -1063.333333
16.66666667x + x2 = -1063.333333

The x term is 16.66666667x.  Take half its coefficient (8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
16.66666667x + 69.44444447 + x2 = -1063.333333 + 69.44444447

Reorder the terms:
69.44444447 + 16.66666667x + x2 = -1063.333333 + 69.44444447

Combine like terms: -1063.333333 + 69.44444447 = -993.88888853
69.44444447 + 16.66666667x + x2 = -993.88888853

Factor a perfect square on the left side:
(x + 8.333333335)(x + 8.333333335) = -993.88888853

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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