g(x)=0.2(x-2)(x+6)

Solution for g(x)=0.2(x-2)(x+6) equation:

Simplifying
g(x) = 0.2(x + -2)(x + 6)

Multiply g * x
gx = 0.2(x + -2)(x + 6)

Reorder the terms:
gx = 0.2(-2 + x)(x + 6)

Reorder the terms:
gx = 0.2(-2 + x)(6 + x)

Multiply (-2 + x) * (6 + x)
gx = 0.2(-2(6 + x) + x(6 + x))
gx = 0.2((6 * -2 + x * -2) + x(6 + x))
gx = 0.2((-12 + -2x) + x(6 + x))
gx = 0.2(-12 + -2x + (6 * x + x * x))
gx = 0.2(-12 + -2x + (6x + x2))

Combine like terms: -2x + 6x = 4x
gx = 0.2(-12 + 4x + x2)
gx = (-12 * 0.2 + 4x * 0.2 + x2 * 0.2)
gx = (-2.4 + 0.8x + 0.2x2)

Solving
gx = -2.4 + 0.8x + 0.2x2

Solving for variable 'g'.

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

Divide each side by 'x'.
g = -2.4x-1 + 0.8 + 0.2x

Simplifying
g = -2.4x-1 + 0.8 + 0.2x

Reorder the terms:
g = 0.8 + -2.4x-1 + 0.2x