0=3Q^2-40Q+100

Solution for 0=3Q^2-40Q+100 equation:

Simplifying
0 = 3Q2 + -40Q + 100

Reorder the terms:
0 = 100 + -40Q + 3Q2

Solving
0 = 100 + -40Q + 3Q2

Solving for variable 'Q'.

Combine like terms: 0 + -100 = -100
-100 + 40Q + -3Q2 = 100 + -40Q + 3Q2 + -100 + 40Q + -3Q2

Reorder the terms:
-100 + 40Q + -3Q2 = 100 + -100 + -40Q + 40Q + 3Q2 + -3Q2

Combine like terms: 100 + -100 = 0
-100 + 40Q + -3Q2 = 0 + -40Q + 40Q + 3Q2 + -3Q2
-100 + 40Q + -3Q2 = -40Q + 40Q + 3Q2 + -3Q2

Combine like terms: -40Q + 40Q = 0
-100 + 40Q + -3Q2 = 0 + 3Q2 + -3Q2
-100 + 40Q + -3Q2 = 3Q2 + -3Q2

Combine like terms: 3Q2 + -3Q2 = 0
-100 + 40Q + -3Q2 = 0

Factor a trinomial.
(-10 + Q)(10 + -3Q) = 0

Subproblem 1
Set the factor '(-10 + Q)' equal to zero and attempt to solve:

Simplifying
-10 + Q = 0

Solving
-10 + Q = 0

Move all terms containing Q to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 10 + Q = 0 + 10

Combine like terms: -10 + 10 = 0
0 + Q = 0 + 10
Q = 0 + 10

Combine like terms: 0 + 10 = 10
Q = 10

Simplifying
Q = 10
Subproblem 2
Set the factor '(10 + -3Q)' equal to zero and attempt to solve:

Simplifying
10 + -3Q = 0

Solving
10 + -3Q = 0

Move all terms containing Q to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -3Q = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3Q = 0 + -10
-3Q = 0 + -10

Combine like terms: 0 + -10 = -10
-3Q = -10

Divide each side by '-3'.
Q = 3.333333333

Simplifying
Q = 3.333333333
Solution
Q = {10, 3.333333333}