What are the solutions to the equation 6x^3+4x^2=10x ?

The solutions to the equation 6x^3+4x^2=10x are x=0,x=1,x=-5/3

Find the zeros of 6x^3+4x^2=10x

The zeros of 6x^3+4x^2=10x are x=0,x=1,x=-5/3

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6 x^{3} + 4 x^{2} = 10 x

x = 0, x = 1, x = - \frac{5}{3}

Decimal Notation

x = 0, x = 1, x = - 1.66666 \dots

Solution steps

6 x^{3} + 4 x^{2} = 10 x

Move

10 x

to the left side

6 x^{3} + 4 x^{2} - 10 x = 0

Factor

6 x^{3} + 4 x^{2} - 10 x : 2 x (x - 1) (3 x + 5)

2 x (x - 1) (3 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or 3 x + 5 = 0

Solve

x - 1 = 0 : x = 1

Solve

3 x + 5 = 0 : x = - \frac{5}{3}

The solutions are

x = 0, x = 1, x = - \frac{5}{3}

x^{5} - 4 x^{3} - 2 x^{2} + 3 x + 2 = 0

6 p + 2 = p^{2} + 3 p^{3}

n, A = 2 r h + 2 s n^{3}

x^{3} - 15 x^{2} + 27 x - 13 = 0

x^{3} - 7 x^{2} + 19 x - 13 = 0

What are the solutions to the equation 6x^3+4x^2=10x ?
The solutions to the equation 6x^3+4x^2=10x are x=0,x=1,x=-5/3
Find the zeros of 6x^3+4x^2=10x
The zeros of 6x^3+4x^2=10x are x=0,x=1,x=-5/3