8g+4=21g^2

Solution for 8g+4=21g^2 equation:

Simplifying
8g + 4 = 21g2

Reorder the terms:
4 + 8g = 21g2

Solving
4 + 8g = 21g2

Solving for variable 'g'.

Combine like terms: 21g2 + -21g2 = 0
4 + 8g + -21g2 = 0

Factor a trinomial.
(2 + -3g)(2 + 7g) = 0

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

Simplifying
2 + -3g = 0

Solving
2 + -3g = 0

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

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

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

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

Divide each side by '-3'.
g = 0.6666666667

Simplifying
g = 0.6666666667
Subproblem 2
Set the factor '(2 + 7g)' equal to zero and attempt to solve:

Simplifying
2 + 7g = 0

Solving
2 + 7g = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7g = 0 + -2
7g = 0 + -2

Combine like terms: 0 + -2 = -2
7g = -2

Divide each side by '7'.
g = -0.2857142857

Simplifying
g = -0.2857142857
Solution
g = {0.6666666667, -0.2857142857}