f(0)=0.02x^2+0.05x+31.9

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Solution for f(0)=0.02x^2+0.05x+31.9 equation: 


Simplifying
f(0) = 0.02x2 + 0.05x + 31.9

Reorder the terms for easier multiplication:
0f = 0.02x2 + 0.05x + 31.9

Anything times zero is zero.
0f = 0.02x2 + 0.05x + 31.9

Reorder the terms:
0 = 31.9 + 0.05x + 0.02x2

Solving
0 = 31.9 + 0.05x + 0.02x2

Solving for variable 'x'.

Combine like terms: 0 + -31.9 = -31.9
-31.9 + -0.05x + -0.02x2 = 31.9 + 0.05x + 0.02x2 + -31.9 + -0.05x + -0.02x2

Reorder the terms:
-31.9 + -0.05x + -0.02x2 = 31.9 + -31.9 + 0.05x + -0.05x + 0.02x2 + -0.02x2

Combine like terms: 31.9 + -31.9 = 0.0
-31.9 + -0.05x + -0.02x2 = 0.0 + 0.05x + -0.05x + 0.02x2 + -0.02x2
-31.9 + -0.05x + -0.02x2 = 0.05x + -0.05x + 0.02x2 + -0.02x2

Combine like terms: 0.05x + -0.05x = 0.00
-31.9 + -0.05x + -0.02x2 = 0.00 + 0.02x2 + -0.02x2
-31.9 + -0.05x + -0.02x2 = 0.02x2 + -0.02x2

Combine like terms: 0.02x2 + -0.02x2 = 0.00
-31.9 + -0.05x + -0.02x2 = 0.00

Begin completing the square.  Divide all terms by
-0.02 the coefficient of the squared term: 

Divide each side by '-0.02'.
1595 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-1595' to each side of the equation.
1595 + 2.5x + -1595 + x2 = 0 + -1595

Reorder the terms:
1595 + -1595 + 2.5x + x2 = 0 + -1595

Combine like terms: 1595 + -1595 = 0
0 + 2.5x + x2 = 0 + -1595
2.5x + x2 = 0 + -1595

Combine like terms: 0 + -1595 = -1595
2.5x + x2 = -1595

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 = -1595 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -1595 + 1.5625

Combine like terms: -1595 + 1.5625 = -1593.4375
1.5625 + 2.5x + x2 = -1593.4375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -1593.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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