(7g+3)(2g-1)=0

Solution for (7g+3)(2g-1)=0 equation:

Simplifying
(7g + 3)(2g + -1) = 0

Reorder the terms:
(3 + 7g)(2g + -1) = 0

Reorder the terms:
(3 + 7g)(-1 + 2g) = 0

Multiply (3 + 7g) * (-1 + 2g)
(3(-1 + 2g) + 7g * (-1 + 2g)) = 0
((-1 * 3 + 2g * 3) + 7g * (-1 + 2g)) = 0
((-3 + 6g) + 7g * (-1 + 2g)) = 0
(-3 + 6g + (-1 * 7g + 2g * 7g)) = 0
(-3 + 6g + (-7g + 14g2)) = 0

Combine like terms: 6g + -7g = -1g
(-3 + -1g + 14g2) = 0

Solving
-3 + -1g + 14g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-3 + -7g)(1 + -2g) = 0

Subproblem 1
Set the factor '(-3 + -7g)' equal to zero and attempt to solve:

Simplifying
-3 + -7g = 0

Solving
-3 + -7g = 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 + -7g = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7g = 0 + 3
-7g = 0 + 3

Combine like terms: 0 + 3 = 3
-7g = 3

Divide each side by '-7'.
g = -0.4285714286

Simplifying
g = -0.4285714286
Subproblem 2
Set the factor '(1 + -2g)' equal to zero and attempt to solve:

Simplifying
1 + -2g = 0

Solving
1 + -2g = 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 + -2g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2g = 0 + -1
-2g = 0 + -1

Combine like terms: 0 + -1 = -1
-2g = -1

Divide each side by '-2'.
g = 0.5

Simplifying
g = 0.5
Solution
g = {-0.4285714286, 0.5}