Slove the equation V = (20-2x) (15-2x) (x) for V

V = 300x + - 70x2 + 4x3

Step-by-step explanation:

Simplifying

V = (20 + - 2x) (15 + - 2x) (x)

Reorder the terms for easier multiplication:

V = x (20 + - 2x) (15 + - 2x)

Multiply (20 + - 2x) * (15 + - 2x)

V = x (20 (15 + - 2x) + - 2x * (15 + - 2x))

V = x ((15 * 20 + - 2x * 20) + - 2x * (15 + - 2x))

V = x ((300 + - 40x) + - 2x * (15 + - 2x))

V = x (300 + - 40x + (15 * - 2x + - 2x * - 2x))

V = x (300 + - 40x + (-30x + 4x2))

Combine like terms: - 40x + - 30x = - 70x

V = x (300 + - 70x + 4x2)

V = (300 * x + - 70x * x + 4x2 * x)

V = (300x + - 70x2 + 4x3)

Solving

V = 300x + - 70x2 + 4x3

Solving for variable 'V'.

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

Simplifying

V = 300x + - 70x2 + 4x3