4a^2-12a+9=4

Solution for 4a^2-12a+9=4 equation:

Simplifying
4a2 + -12a + 9 = 4

Reorder the terms:
9 + -12a + 4a2 = 4

Solving
9 + -12a + 4a2 = 4

Solving for variable 'a'.

Reorder the terms:
9 + -4 + -12a + 4a2 = 4 + -4

Combine like terms: 9 + -4 = 5
5 + -12a + 4a2 = 4 + -4

Combine like terms: 4 + -4 = 0
5 + -12a + 4a2 = 0

Factor a trinomial.
(1 + -2a)(5 + -2a) = 0

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

Simplifying
1 + -2a = 0

Solving
1 + -2a = 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 + -2a = 0 + -1

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

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

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

Simplifying
a = 0.5
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 = {0.5, 2.5}