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

The solutions to the equation 2x^3=6x^2 are x=0,x=3

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

The zeros of 2x^3=6x^2 are x=0,x=3

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

x = 0, x = 3

Solution steps

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

Move

6 x^{2}

to the left side

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

Factor

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

2 x^{2} (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 3

r^{4} - 13 r^{2} + 36 = 0

x^{3} + 9 x^{2} + 5 x - 14 = 0

13 = x^{3}

8 x^{3} + 18 x^{2} + 45 x + 27 = 0

2387 q^{2} + 4.426 q^{3} - 17494 = 0

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