2(12g^2-g)=15

Solution for 2(12g^2-g)=15 equation:

Simplifying
2(12g2 + -1g) = 15

Reorder the terms:
2(-1g + 12g2) = 15
(-1g * 2 + 12g2 * 2) = 15
(-2g + 24g2) = 15

Solving
-2g + 24g2 = 15

Solving for variable 'g'.

Reorder the terms:
-15 + -2g + 24g2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -2g + 24g2 = 0

Factor a trinomial.
(-3 + -4g)(5 + -6g) = 0

Subproblem 1
Set the factor '(-3 + -4g)' equal to zero and attempt to solve:

Simplifying
-3 + -4g = 0

Solving
-3 + -4g = 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 + -4g = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4g = 0 + 3
-4g = 0 + 3

Combine like terms: 0 + 3 = 3
-4g = 3

Divide each side by '-4'.
g = -0.75

Simplifying
g = -0.75
Subproblem 2
Set the factor '(5 + -6g)' equal to zero and attempt to solve:

Simplifying
5 + -6g = 0

Solving
5 + -6g = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6g = 0 + -5
-6g = 0 + -5

Combine like terms: 0 + -5 = -5
-6g = -5

Divide each side by '-6'.
g = 0.8333333333

Simplifying
g = 0.8333333333
Solution
g = {-0.75, 0.8333333333}