f(0)=.03x^2+.06x+30.7

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Solution for f(0)=.03x^2+.06x+30.7 equation: 


Simplifying
f(0) = 0.03x2 + 0.06x + 30.7

Reorder the terms for easier multiplication:
0f = 0.03x2 + 0.06x + 30.7

Anything times zero is zero.
0f = 0.03x2 + 0.06x + 30.7

Reorder the terms:
0 = 30.7 + 0.06x + 0.03x2

Solving
0 = 30.7 + 0.06x + 0.03x2

Solving for variable 'x'.

Combine like terms: 0 + -30.7 = -30.7
-30.7 + -0.06x + -0.03x2 = 30.7 + 0.06x + 0.03x2 + -30.7 + -0.06x + -0.03x2

Reorder the terms:
-30.7 + -0.06x + -0.03x2 = 30.7 + -30.7 + 0.06x + -0.06x + 0.03x2 + -0.03x2

Combine like terms: 30.7 + -30.7 = 0.0
-30.7 + -0.06x + -0.03x2 = 0.0 + 0.06x + -0.06x + 0.03x2 + -0.03x2
-30.7 + -0.06x + -0.03x2 = 0.06x + -0.06x + 0.03x2 + -0.03x2

Combine like terms: 0.06x + -0.06x = 0.00
-30.7 + -0.06x + -0.03x2 = 0.00 + 0.03x2 + -0.03x2
-30.7 + -0.06x + -0.03x2 = 0.03x2 + -0.03x2

Combine like terms: 0.03x2 + -0.03x2 = 0.00
-30.7 + -0.06x + -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'.
1023.333333 + 2x + x2 = 0

Move the constant term to the right:

Add '-1023.333333' to each side of the equation.
1023.333333 + 2x + -1023.333333 + x2 = 0 + -1023.333333

Reorder the terms:
1023.333333 + -1023.333333 + 2x + x2 = 0 + -1023.333333

Combine like terms: 1023.333333 + -1023.333333 = 0.000000
0.000000 + 2x + x2 = 0 + -1023.333333
2x + x2 = 0 + -1023.333333

Combine like terms: 0 + -1023.333333 = -1023.333333
2x + x2 = -1023.333333

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -1023.333333 + 1

Reorder the terms:
1 + 2x + x2 = -1023.333333 + 1

Combine like terms: -1023.333333 + 1 = -1022.333333
1 + 2x + x2 = -1022.333333

Factor a perfect square on the left side:
(x + 1)(x + 1) = -1022.333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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