Question

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

Answer 1

Answer:

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