What are the solutions to the equation 3x^3+15x^2-2x=10 ?

The solutions to the equation 3x^3+15x^2-2x=10 are x=-5,x=-sqrt(2/3),x=sqrt(2/3)

Find the zeros of 3x^3+15x^2-2x=10

The zeros of 3x^3+15x^2-2x=10 are x=-5,x=-sqrt(2/3),x=sqrt(2/3)

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3 x^{3} + 15 x^{2} - 2 x = 10

x = - 5, x = - \frac{2}{3}, x = \frac{2}{3}

Decimal Notation

x = - 5, x = - 0.81649 \dots, x = 0.81649 \dots

Solution steps

3 x^{3} + 15 x^{2} - 2 x = 10

Move

10

to the left side

3 x^{3} + 15 x^{2} - 2 x - 10 = 0

Factor

3 x^{3} + 15 x^{2} - 2 x - 10 : (x + 5) (3 x + 2) (3 x - 2)

(x + 5) (3 x + 2) (3 x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or 3 x + 2 = 0 or 3 x - 2 = 0

Solve

x + 5 = 0 : x = - 5

Solve

3 x + 2 = 0 : x = - \frac{2}{3}

Solve

3 x - 2 = 0 : x = \frac{2}{3}

The solutions are

x = - 5, x = - \frac{2}{3}, x = \frac{2}{3}

(x + 4) \cdot (- 4 x^{2} + 4 x - 1) = 0

n^{4} (n + 5) - 2 (5 + 7 n) = - 70

z^{4} = 6 z^{2} + 7

7 z^{3} + 30 z^{2} = 25 z

s^{3} + 9.5 s^{2} - 5 s = 0

What are the solutions to the equation 3x^3+15x^2-2x=10 ?
The solutions to the equation 3x^3+15x^2-2x=10 are x=-5,x=-sqrt(2/3),x=sqrt(2/3)
Find the zeros of 3x^3+15x^2-2x=10
The zeros of 3x^3+15x^2-2x=10 are x=-5,x=-sqrt(2/3),x=sqrt(2/3)