What is the answer to x(x+2)(x+4)+x^3=2(x+1)^3 ?

The answer to x(x+2)(x+4)+x^3=2(x+1)^3 is x=1

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x(x+2)(x+4)+x^3=2(x+1)^3

x (x + 2) (x + 4) + x^{3} = 2 (x + 1)^{3}

x = 1

Solution steps

x (x + 2) (x + 4) + x^{3} = 2 (x + 1)^{3}

Expand

x (x + 2) (x + 4) + x^{3} : 2 x^{3} + 6 x^{2} + 8 x

Expand

2 (x + 1)^{3} : 2 x^{3} + 6 x^{2} + 6 x + 2

2 x^{3} + 6 x^{2} + 8 x = 2 x^{3} + 6 x^{2} + 6 x + 2

Subtract

2 x^{3} + 6 x^{2} + 6 x

from both sides

2 x^{3} + 6 x^{2} + 8 x - (2 x^{3} + 6 x^{2} + 6 x) = 2 x^{3} + 6 x^{2} + 6 x + 2 - (2 x^{3} + 6 x^{2} + 6 x)

Simplify

2 x = 2

Divide both sides by

2

x = 1

x, y + 4 = 3 x

x, 2 y + 4 x = 2

\frac{1}{5} x = 20

3 t - 6 = t - 2

8 (2 m + 3) = 120

What is the answer to x(x+2)(x+4)+x^3=2(x+1)^3 ?
The answer to x(x+2)(x+4)+x^3=2(x+1)^3 is x=1
Solve for x: x(x+2)(x+4)+x^3=2(x+1)^3
The solution is x=1