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

The solutions to the equation x^3+2x=3x^2 are x=0,x=1,x=2

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

The zeros of x^3+2x=3x^2 are x=0,x=1,x=2

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

x = 0, x = 1, x = 2

Solution steps

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

Move

3 x^{2}

to the left side

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

Factor

x^{3} + 2 x - 3 x^{2} : x (x - 1) (x - 2)

x (x - 1) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x - 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = 1, x = 2

x^{3} + 5 x^{2} - 13 x + 7 = 0

x^{3} + 5 x^{2} + 24 x + 20 = 0

3 x^{2} (x - 1) - 2 = x^{2}

x^{4} + 4 x^{3} - 5 x^{2} - 16 x + 4 = 0

3 x^{5} + x^{4} - 9 x^{3} - 9 x^{2} - 2 x = 0

What are the solutions to the equation x^3+2x=3x^2 ?
The solutions to the equation x^3+2x=3x^2 are x=0,x=1,x=2
Find the zeros of x^3+2x=3x^2
The zeros of x^3+2x=3x^2 are x=0,x=1,x=2