(g+-1)(4g+1)=

Solution for (g+-1)(4g+1)= equation:

Simplifying
(g + -1)(4g + 1) = 0

Reorder the terms:
(-1 + g)(4g + 1) = 0

Reorder the terms:
(-1 + g)(1 + 4g) = 0

Multiply (-1 + g) * (1 + 4g)
(-1(1 + 4g) + g(1 + 4g)) = 0
((1 * -1 + 4g * -1) + g(1 + 4g)) = 0
((-1 + -4g) + g(1 + 4g)) = 0
(-1 + -4g + (1 * g + 4g * g)) = 0
(-1 + -4g + (1g + 4g2)) = 0

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

Solving
-1 + -3g + 4g2 = 0

Solving for variable 'g'.

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

Subproblem 1
Set the factor '(-1 + -4g)' equal to zero and attempt to solve:

Simplifying
-1 + -4g = 0

Solving
-1 + -4g = 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 + -4g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4g = 0 + 1
-4g = 0 + 1

Combine like terms: 0 + 1 = 1
-4g = 1

Divide each side by '-4'.
g = -0.25

Simplifying
g = -0.25
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 = {-0.25, 1}