What are the solutions to the equation 3x^3=7x^2+6x ?

The solutions to the equation 3x^3=7x^2+6x are x=0,x=-2/3 ,x=3

Find the zeros of 3x^3=7x^2+6x

The zeros of 3x^3=7x^2+6x are x=0,x=-2/3 ,x=3

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3 x^{3} = 7 x^{2} + 6 x

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

Decimal Notation

x = 0, x = - 0.66666 \dots, x = 3

Solution steps

3 x^{3} = 7 x^{2} + 6 x

Move

6 x

to the left side

3 x^{3} - 6 x = 7 x^{2}

Move

7 x^{2}

to the left side

3 x^{3} - 6 x - 7 x^{2} = 0

Factor

3 x^{3} - 6 x - 7 x^{2} : x (3 x + 2) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x - 3 = 0 : x = 3

The solutions are

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

3 x^{4} - 24 x^{3} + 4 x^{2} - 29 x - 67 = 0

x^{3} + 2 x + 1

x^{3} + 2 x + 2

x^{6} - 3 x^{4} - x^{3} + 2 x^{2} - x - 1 = 0

3 x^{3} - 4 x = 0

What are the solutions to the equation 3x^3=7x^2+6x ?
The solutions to the equation 3x^3=7x^2+6x are x=0,x=-2/3 ,x=3
Find the zeros of 3x^3=7x^2+6x
The zeros of 3x^3=7x^2+6x are x=0,x=-2/3 ,x=3