7g^2-11g+4=0

Solution for 7g^2-11g+4=0 equation:

Simplifying
7g2 + -11g + 4 = 0

Reorder the terms:
4 + -11g + 7g2 = 0

Solving
4 + -11g + 7g2 = 0

Solving for variable 'g'.

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

Subproblem 1
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
Subproblem 2
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
Solution
g = {0.5714285714, 1}