(7g^2+5g-1)-(3g^2+4g+2)=

Solution for (7g^2+5g-1)-(3g^2+4g+2)= equation:

Simplifying
(7g2 + 5g + -1) + -1(3g2 + 4g + 2) = 0

Reorder the terms:
(-1 + 5g + 7g2) + -1(3g2 + 4g + 2) = 0

Remove parenthesis around (-1 + 5g + 7g2)
-1 + 5g + 7g2 + -1(3g2 + 4g + 2) = 0

Reorder the terms:
-1 + 5g + 7g2 + -1(2 + 4g + 3g2) = 0
-1 + 5g + 7g2 + (2 * -1 + 4g * -1 + 3g2 * -1) = 0
-1 + 5g + 7g2 + (-2 + -4g + -3g2) = 0

Reorder the terms:
-1 + -2 + 5g + -4g + 7g2 + -3g2 = 0

Combine like terms: -1 + -2 = -3
-3 + 5g + -4g + 7g2 + -3g2 = 0

Combine like terms: 5g + -4g = 1g
-3 + 1g + 7g2 + -3g2 = 0

Combine like terms: 7g2 + -3g2 = 4g2
-3 + 1g + 4g2 = 0

Solving
-3 + 1g + 4g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -1g)(3 + -4g) = 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 '(3 + -4g)' equal to zero and attempt to solve:

Simplifying
3 + -4g = 0

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

Combine like terms: 3 + -3 = 0
0 + -4g = 0 + -3
-4g = 0 + -3

Combine like terms: 0 + -3 = -3
-4g = -3

Divide each side by '-4'.
g = 0.75

Simplifying
g = 0.75
Solution
g = {-1, 0.75}