-4g^2+6=-10g

Solution for -4g^2+6=-10g equation:

Simplifying
-4g2 + 6 = -10g

Reorder the terms:
6 + -4g2 = -10g

Solving
6 + -4g2 = -10g

Solving for variable 'g'.

Reorder the terms:
6 + 10g + -4g2 = -10g + 10g

Combine like terms: -10g + 10g = 0
6 + 10g + -4g2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 5g + -2g2) = 0

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

Ignore the factor 2.
Subproblem 1
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
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 = {3, -0.5}