g(x)=(5x-2)(4-x)+3x^2+4

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


Simplifying
g(x) = (5x + -2)(4 + -1x) + 3x2 + 4

Multiply g * x
gx = (5x + -2)(4 + -1x) + 3x2 + 4

Reorder the terms:
gx = (-2 + 5x)(4 + -1x) + 3x2 + 4

Multiply (-2 + 5x) * (4 + -1x)
gx = (-2(4 + -1x) + 5x * (4 + -1x)) + 3x2 + 4
gx = ((4 * -2 + -1x * -2) + 5x * (4 + -1x)) + 3x2 + 4
gx = ((-8 + 2x) + 5x * (4 + -1x)) + 3x2 + 4
gx = (-8 + 2x + (4 * 5x + -1x * 5x)) + 3x2 + 4
gx = (-8 + 2x + (20x + -5x2)) + 3x2 + 4

Combine like terms: 2x + 20x = 22x
gx = (-8 + 22x + -5x2) + 3x2 + 4

Reorder the terms:
gx = -8 + 4 + 22x + -5x2 + 3x2

Combine like terms: -8 + 4 = -4
gx = -4 + 22x + -5x2 + 3x2

Combine like terms: -5x2 + 3x2 = -2x2
gx = -4 + 22x + -2x2

Solving
gx = -4 + 22x + -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 = -4x-1 + 22 + -2x

Simplifying
g = -4x-1 + 22 + -2x

Reorder the terms:
g = 22 + -4x-1 + -2x

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