4A^2-16A+18=3

Solution for 4A^2-16A+18=3 equation:

Simplifying
4A2 + -16A + 18 = 3

Reorder the terms:
18 + -16A + 4A2 = 3

Solving
18 + -16A + 4A2 = 3

Solving for variable 'A'.

Reorder the terms:
18 + -3 + -16A + 4A2 = 3 + -3

Combine like terms: 18 + -3 = 15
15 + -16A + 4A2 = 3 + -3

Combine like terms: 3 + -3 = 0
15 + -16A + 4A2 = 0

Factor a trinomial.
(3 + -2A)(5 + -2A) = 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 '(5 + -2A)' equal to zero and attempt to solve:

Simplifying
5 + -2A = 0

Solving
5 + -2A = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2A = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2A = 0 + -5
-2A = 0 + -5

Combine like terms: 0 + -5 = -5
-2A = -5

Divide each side by '-2'.
A = 2.5

Simplifying
A = 2.5
Solution
A = {1.5, 2.5}