4g(g-7)-4(6-2g)=

Solution for 4g(g-7)-4(6-2g)= equation:

Simplifying
4g(g + -7) + -4(6 + -2g) = 0

Reorder the terms:
4g(-7 + g) + -4(6 + -2g) = 0
(-7 * 4g + g * 4g) + -4(6 + -2g) = 0
(-28g + 4g2) + -4(6 + -2g) = 0
-28g + 4g2 + (6 * -4 + -2g * -4) = 0
-28g + 4g2 + (-24 + 8g) = 0

Reorder the terms:
-24 + -28g + 8g + 4g2 = 0

Combine like terms: -28g + 8g = -20g
-24 + -20g + 4g2 = 0

Solving
-24 + -20g + 4g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + -5g + g2) = 0

Factor a trinomial.
4((-1 + -1g)(6 + -1g)) = 0

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

Simplifying
-1 + -1g = 0

Solving
-1 + -1g = 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 + -1g = 0 + 1

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

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

Divide each side by '-1'.
g = -1

Simplifying
g = -1
Subproblem 2
Set the factor '(6 + -1g)' equal to zero and attempt to solve:

Simplifying
6 + -1g = 0

Solving
6 + -1g = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = 0 + -6
-1g = 0 + -6

Combine like terms: 0 + -6 = -6
-1g = -6

Divide each side by '-1'.
g = 6

Simplifying
g = 6
Solution
g = {-1, 6}