(3g-1)(g+5)=

Solution for (3g-1)(g+5)= equation:

Simplifying
(3g + -1)(g + 5) = 0

Reorder the terms:
(-1 + 3g)(g + 5) = 0

Reorder the terms:
(-1 + 3g)(5 + g) = 0

Multiply (-1 + 3g) * (5 + g)
(-1(5 + g) + 3g * (5 + g)) = 0
((5 * -1 + g * -1) + 3g * (5 + g)) = 0
((-5 + -1g) + 3g * (5 + g)) = 0
(-5 + -1g + (5 * 3g + g * 3g)) = 0
(-5 + -1g + (15g + 3g2)) = 0

Combine like terms: -1g + 15g = 14g
(-5 + 14g + 3g2) = 0

Solving
-5 + 14g + 3g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-5 + -1g)(1 + -3g) = 0

Subproblem 1
Set the factor '(-5 + -1g)' equal to zero and attempt to solve:

Simplifying
-5 + -1g = 0

Solving
-5 + -1g = 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 + -1g = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1g = 0 + 5
-1g = 0 + 5

Combine like terms: 0 + 5 = 5
-1g = 5

Divide each side by '-1'.
g = -5

Simplifying
g = -5
Subproblem 2
Set the factor '(1 + -3g)' equal to zero and attempt to solve:

Simplifying
1 + -3g = 0

Solving
1 + -3g = 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 + -3g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3g = 0 + -1
-3g = 0 + -1

Combine like terms: 0 + -1 = -1
-3g = -1

Divide each side by '-3'.
g = 0.3333333333

Simplifying
g = 0.3333333333
Solution
g = {-5, 0.3333333333}