7g^2+3g-4=0

Solution for 7g^2+3g-4=0 equation:

Simplifying
7g2 + 3g + -4 = 0

Reorder the terms:
-4 + 3g + 7g2 = 0

Solving
-4 + 3g + 7g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -1g)(4 + -7g) = 0

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 '(4 + -7g)' equal to zero and attempt to solve:

Simplifying
4 + -7g = 0

Solving
4 + -7g = 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 + -7g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7g = 0 + -4
-7g = 0 + -4

Combine like terms: 0 + -4 = -4
-7g = -4

Divide each side by '-7'.
g = 0.5714285714

Simplifying
g = 0.5714285714
Solution
g = {-1, 0.5714285714}