2Q^2-9Q+4=0

Solution for 2Q^2-9Q+4=0 equation:

Simplifying
2Q2 + -9Q + 4 = 0

Reorder the terms:
4 + -9Q + 2Q2 = 0

Solving
4 + -9Q + 2Q2 = 0

Solving for variable 'Q'.

Factor a trinomial.
(1 + -2Q)(4 + -1Q) = 0

Subproblem 1
Set the factor '(1 + -2Q)' equal to zero and attempt to solve:

Simplifying
1 + -2Q = 0

Solving
1 + -2Q = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2Q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2Q = 0 + -1
-2Q = 0 + -1

Combine like terms: 0 + -1 = -1
-2Q = -1

Divide each side by '-2'.
Q = 0.5

Simplifying
Q = 0.5
Subproblem 2
Set the factor '(4 + -1Q)' equal to zero and attempt to solve:

Simplifying
4 + -1Q = 0

Solving
4 + -1Q = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1Q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1Q = 0 + -4
-1Q = 0 + -4

Combine like terms: 0 + -4 = -4
-1Q = -4

Divide each side by '-1'.
Q = 4

Simplifying
Q = 4
Solution
Q = {0.5, 4}