(4g-3)(g+4)=

Solution for (4g-3)(g+4)= equation:

Simplifying
(4g + -3)(g + 4) = 0

Reorder the terms:
(-3 + 4g)(g + 4) = 0

Reorder the terms:
(-3 + 4g)(4 + g) = 0

Multiply (-3 + 4g) * (4 + g)
(-3(4 + g) + 4g * (4 + g)) = 0
((4 * -3 + g * -3) + 4g * (4 + g)) = 0
((-12 + -3g) + 4g * (4 + g)) = 0
(-12 + -3g + (4 * 4g + g * 4g)) = 0
(-12 + -3g + (16g + 4g2)) = 0

Combine like terms: -3g + 16g = 13g
(-12 + 13g + 4g2) = 0

Solving
-12 + 13g + 4g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-4 + -1g)(3 + -4g) = 0

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

Simplifying
-4 + -1g = 0

Solving
-4 + -1g = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1g = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1g = 0 + 4
-1g = 0 + 4

Combine like terms: 0 + 4 = 4
-1g = 4

Divide each side by '-1'.
g = -4

Simplifying
g = -4
Subproblem 2
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
Solution
g = {-4, 0.75}