4g+4g^2-3=0

Solution for 4g+4g^2-3=0 equation:

Simplifying
4g + 4g2 + -3 = 0

Reorder the terms:
-3 + 4g + 4g2 = 0

Solving
-3 + 4g + 4g2 = 0

Solving for variable 'g'.

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

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

Simplifying
-3 + -2g = 0

Solving
-3 + -2g = 0

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

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

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

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

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

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

Simplifying
1 + -2g = 0

Solving
1 + -2g = 0

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

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

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

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

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

Simplifying
g = 0.5
Solution
g = {-1.5, 0.5}