What are the solutions to the equation x^3+3x^2-10x=30 ?

The solutions to the equation x^3+3x^2-10x=30 are x=-3,x=-sqrt(10),x=sqrt(10)

Find the zeros of x^3+3x^2-10x=30

The zeros of x^3+3x^2-10x=30 are x=-3,x=-sqrt(10),x=sqrt(10)

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x^{3} + 3 x^{2} - 10 x = 30

x = - 3, x = - 10, x = 10

Decimal Notation

x = - 3, x = - 3.16227 \dots, x = 3.16227 \dots

Solution steps

x^{3} + 3 x^{2} - 10 x = 30

Move

30

to the left side

x^{3} + 3 x^{2} - 10 x - 30 = 0

Factor

x^{3} + 3 x^{2} - 10 x - 30 : (x + 3) (x + 10) (x - 10)

(x + 3) (x + 10) (x - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0 or x + 10 = 0 or x - 10 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x + 10 = 0 : x = - 10

Solve

x - 10 = 0 : x = 10

The solutions are

x = - 3, x = - 10, x = 10

a - 15 > - 4 (- 6 + 3 a)

7 (x - 4) = 3 x + 72

7 x^{2} - 3 = 60

16 m^{2} - 40 m + 25

x^{2} = 8 x + 20

What are the solutions to the equation x^3+3x^2-10x=30 ?
The solutions to the equation x^3+3x^2-10x=30 are x=-3,x=-sqrt(10),x=sqrt(10)
Find the zeros of x^3+3x^2-10x=30
The zeros of x^3+3x^2-10x=30 are x=-3,x=-sqrt(10),x=sqrt(10)