g(x)=-1(x+2)(x+3)

Solution for g(x)=-1(x+2)(x+3) equation:

Simplifying
g(x) = -1(x + 2)(x + 3)

Multiply g * x
gx = -1(x + 2)(x + 3)

Reorder the terms:
gx = -1(2 + x)(x + 3)

Reorder the terms:
gx = -1(2 + x)(3 + x)

Multiply (2 + x) * (3 + x)
gx = -1(2(3 + x) + x(3 + x))
gx = -1((3 * 2 + x * 2) + x(3 + x))
gx = -1((6 + 2x) + x(3 + x))
gx = -1(6 + 2x + (3 * x + x * x))
gx = -1(6 + 2x + (3x + x2))

Combine like terms: 2x + 3x = 5x
gx = -1(6 + 5x + x2)
gx = (6 * -1 + 5x * -1 + x2 * -1)
gx = (-6 + -5x + -1x2)

Solving
gx = -6 + -5x + -1x2

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Divide each side by 'x'.
g = -6x-1 + -5 + -1x

Simplifying
g = -6x-1 + -5 + -1x

Reorder the terms:
g = -5 + -6x-1 + -1x