0.0012Q^2-0.25Q=-1450

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Solution for 0.0012Q^2-0.25Q=-1450 equation: 


Simplifying
0.0012Q2 + -0.25Q = -1450

Reorder the terms:
-0.25Q + 0.0012Q2 = -1450

Solving
-0.25Q + 0.0012Q2 = -1450

Solving for variable 'Q'.

Reorder the terms:
1450 + -0.25Q + 0.0012Q2 = -1450 + 1450

Combine like terms: -1450 + 1450 = 0
1450 + -0.25Q + 0.0012Q2 = 0

Begin completing the square.  Divide all terms by
0.0012 the coefficient of the squared term: 

Divide each side by '0.0012'.
1208333.333 + -208.3333333Q + Q2 = 0

Move the constant term to the right:

Add '-1208333.333' to each side of the equation.
1208333.333 + -208.3333333Q + -1208333.333 + Q2 = 0 + -1208333.333

Reorder the terms:
1208333.333 + -1208333.333 + -208.3333333Q + Q2 = 0 + -1208333.333

Combine like terms: 1208333.333 + -1208333.333 = 0.000
0.000 + -208.3333333Q + Q2 = 0 + -1208333.333
-208.3333333Q + Q2 = 0 + -1208333.333

Combine like terms: 0 + -1208333.333 = -1208333.333
-208.3333333Q + Q2 = -1208333.333

The Q term is -208.3333333Q.  Take half its coefficient (-104.1666667).
Square it (10850.69445) and add it to both sides.

Add '10850.69445' to each side of the equation.
-208.3333333Q + 10850.69445 + Q2 = -1208333.333 + 10850.69445

Reorder the terms:
10850.69445 + -208.3333333Q + Q2 = -1208333.333 + 10850.69445

Combine like terms: -1208333.333 + 10850.69445 = -1197482.63855
10850.69445 + -208.3333333Q + Q2 = -1197482.63855

Factor a perfect square on the left side:
(Q + -104.1666667)(Q + -104.1666667) = -1197482.63855

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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