What are the solutions to the equation x(x+2)^2(x+5)+x(x+2)^3=0 ?

The solutions to the equation x(x+2)^2(x+5)+x(x+2)^3=0 are x=0,x=-2,x=-7/2

Find the zeros of x(x+2)^2(x+5)+x(x+2)^3=0

The zeros of x(x+2)^2(x+5)+x(x+2)^3=0 are x=0,x=-2,x=-7/2

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x (x + 2)^{2} (x + 5) + x (x + 2)^{3} = 0

x = 0, x = - 2, x = - \frac{7}{2}

Decimal Notation

x = 0, x = - 2, x = - 3.5

Solution steps

x (x + 2)^{2} (x + 5) + x (x + 2)^{3} = 0

Factor

x (x + 2)^{2} (x + 5) + x (x + 2)^{3} : x (x + 2)^{2} (2 x + 7)

x (x + 2)^{2} (2 x + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or 2 x + 7 = 0

Solve

x + 2 = 0 : x = - 2

Solve

2 x + 7 = 0 : x = - \frac{7}{2}

The solutions are

x = 0, x = - 2, x = - \frac{7}{2}

x^{4} - 4 x^{2} + 4 x = 0

- 4 x^{3} + 12 x^{2} + 16 x = 0

x^{3} - 3 x + 3 = 0

2 x^{4} + 5 x^{2} + 4 = 0

y^{4} + 15 y^{2} - 16 = 0

What are the solutions to the equation x(x+2)^2(x+5)+x(x+2)^3=0 ?
The solutions to the equation x(x+2)^2(x+5)+x(x+2)^3=0 are x=0,x=-2,x=-7/2
Find the zeros of x(x+2)^2(x+5)+x(x+2)^3=0
The zeros of x(x+2)^2(x+5)+x(x+2)^3=0 are x=0,x=-2,x=-7/2