0=Q^2-5Q+150

Solution for 0=Q^2-5Q+150 equation:

Simplifying
0 = Q2 + -5Q + 150

Reorder the terms:
0 = 150 + -5Q + Q2

Solving
0 = 150 + -5Q + Q2

Solving for variable 'Q'.

Combine like terms: 0 + -150 = -150
-150 + 5Q + -1Q2 = 150 + -5Q + Q2 + -150 + 5Q + -1Q2

Reorder the terms:
-150 + 5Q + -1Q2 = 150 + -150 + -5Q + 5Q + Q2 + -1Q2

Combine like terms: 150 + -150 = 0
-150 + 5Q + -1Q2 = 0 + -5Q + 5Q + Q2 + -1Q2
-150 + 5Q + -1Q2 = -5Q + 5Q + Q2 + -1Q2

Combine like terms: -5Q + 5Q = 0
-150 + 5Q + -1Q2 = 0 + Q2 + -1Q2
-150 + 5Q + -1Q2 = Q2 + -1Q2

Combine like terms: Q2 + -1Q2 = 0
-150 + 5Q + -1Q2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
150 + -5Q + Q2 = 0

Move the constant term to the right:

Add '-150' to each side of the equation.
150 + -5Q + -150 + Q2 = 0 + -150

Reorder the terms:
150 + -150 + -5Q + Q2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -5Q + Q2 = 0 + -150
-5Q + Q2 = 0 + -150

Combine like terms: 0 + -150 = -150
-5Q + Q2 = -150

The Q term is -5Q.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5Q + 6.25 + Q2 = -150 + 6.25

Reorder the terms:
6.25 + -5Q + Q2 = -150 + 6.25

Combine like terms: -150 + 6.25 = -143.75
6.25 + -5Q + Q2 = -143.75

Factor a perfect square on the left side:
(Q + -2.5)(Q + -2.5) = -143.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.