4a^2+4a+4=3+4

Solution for 4a^2+4a+4=3+4 equation:

Simplifying
4a2 + 4a + 4 = 3 + 4

Reorder the terms:
4 + 4a + 4a2 = 3 + 4

Combine like terms: 3 + 4 = 7
4 + 4a + 4a2 = 7

Solving
4 + 4a + 4a2 = 7

Solving for variable 'a'.

Reorder the terms:
4 + -7 + 4a + 4a2 = 7 + -7

Combine like terms: 4 + -7 = -3
-3 + 4a + 4a2 = 7 + -7

Combine like terms: 7 + -7 = 0
-3 + 4a + 4a2 = 0

Factor a trinomial.
(-3 + -2a)(1 + -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 '(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
Solution
a = {-1.5, 0.5}