(4g+1)(g-3)=0

Solution for (4g+1)(g-3)=0 equation:

Simplifying
(4g + 1)(g + -3) = 0

Reorder the terms:
(1 + 4g)(g + -3) = 0

Reorder the terms:
(1 + 4g)(-3 + g) = 0

Multiply (1 + 4g) * (-3 + g)
(1(-3 + g) + 4g * (-3 + g)) = 0
((-3 * 1 + g * 1) + 4g * (-3 + g)) = 0
((-3 + 1g) + 4g * (-3 + g)) = 0
(-3 + 1g + (-3 * 4g + g * 4g)) = 0
(-3 + 1g + (-12g + 4g2)) = 0

Combine like terms: 1g + -12g = -11g
(-3 + -11g + 4g2) = 0

Solving
-3 + -11g + 4g2 = 0

Solving for variable 'g'.

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

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

Simplifying
-1 + -4g = 0

Solving
-1 + -4g = 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 + -4g = 0 + 1

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

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

Divide each side by '-4'.
g = -0.25

Simplifying
g = -0.25
Subproblem 2
Set the factor '(3 + -1g)' equal to zero and attempt to solve:

Simplifying
3 + -1g = 0

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

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

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

Divide each side by '-1'.
g = 3

Simplifying
g = 3
Solution
g = {-0.25, 3}