0=.00075x^2-.03x+3.5

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Solution for 0=.00075x^2-.03x+3.5 equation: 


Simplifying
0 = 0.00075x2 + -0.03x + 3.5

Reorder the terms:
0 = 3.5 + -0.03x + 0.00075x2

Solving
0 = 3.5 + -0.03x + 0.00075x2

Solving for variable 'x'.

Combine like terms: 0 + -3.5 = -3.5
-3.5 + 0.03x + -0.00075x2 = 3.5 + -0.03x + 0.00075x2 + -3.5 + 0.03x + -0.00075x2

Reorder the terms:
-3.5 + 0.03x + -0.00075x2 = 3.5 + -3.5 + -0.03x + 0.03x + 0.00075x2 + -0.00075x2

Combine like terms: 3.5 + -3.5 = 0.0
-3.5 + 0.03x + -0.00075x2 = 0.0 + -0.03x + 0.03x + 0.00075x2 + -0.00075x2
-3.5 + 0.03x + -0.00075x2 = -0.03x + 0.03x + 0.00075x2 + -0.00075x2

Combine like terms: -0.03x + 0.03x = 0.00
-3.5 + 0.03x + -0.00075x2 = 0.00 + 0.00075x2 + -0.00075x2
-3.5 + 0.03x + -0.00075x2 = 0.00075x2 + -0.00075x2

Combine like terms: 0.00075x2 + -0.00075x2 = 0.00000
-3.5 + 0.03x + -0.00075x2 = 0.00000

Begin completing the square.  Divide all terms by
-0.00075 the coefficient of the squared term: 

Divide each side by '-0.00075'.
4666.666667 + -40x + x2 = 0

Move the constant term to the right:

Add '-4666.666667' to each side of the equation.
4666.666667 + -40x + -4666.666667 + x2 = 0 + -4666.666667

Reorder the terms:
4666.666667 + -4666.666667 + -40x + x2 = 0 + -4666.666667

Combine like terms: 4666.666667 + -4666.666667 = 0.000000
0.000000 + -40x + x2 = 0 + -4666.666667
-40x + x2 = 0 + -4666.666667

Combine like terms: 0 + -4666.666667 = -4666.666667
-40x + x2 = -4666.666667

The x term is -40x.  Take half its coefficient (-20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
-40x + 400 + x2 = -4666.666667 + 400

Reorder the terms:
400 + -40x + x2 = -4666.666667 + 400

Combine like terms: -4666.666667 + 400 = -4266.666667
400 + -40x + x2 = -4266.666667

Factor a perfect square on the left side:
(x + -20)(x + -20) = -4266.666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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