2A^2+A=3

Solution for 2A^2+A=3 equation:

Simplifying
2A2 + A = 3

Reorder the terms:
A + 2A2 = 3

Solving
A + 2A2 = 3

Solving for variable 'A'.

Reorder the terms:
-3 + A + 2A2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + A + 2A2 = 0

Factor a trinomial.
(-3 + -2A)(1 + -1A) = 0

Subproblem 1
Set the factor '(-3 + -2A)' equal to zero and attempt to solve:

Simplifying
-3 + -2A = 0

Solving
-3 + -2A = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2A = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2A = 0 + 3
-2A = 0 + 3

Combine like terms: 0 + 3 = 3
-2A = 3

Divide each side by '-2'.
A = -1.5

Simplifying
A = -1.5
Subproblem 2
Set the factor '(1 + -1A)' equal to zero and attempt to solve:

Simplifying
1 + -1A = 0

Solving
1 + -1A = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1A = 0 + -1
-1A = 0 + -1

Combine like terms: 0 + -1 = -1
-1A = -1

Divide each side by '-1'.
A = 1

Simplifying
A = 1
Solution
A = {-1.5, 1}