What are the solutions to the equation 2x^3=5x^2 ?

The solutions to the equation 2x^3=5x^2 are x=0,x= 5/2

Find the zeros of 2x^3=5x^2

The zeros of 2x^3=5x^2 are x=0,x= 5/2

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2 x^{3} = 5 x^{2}

x = 0, x = \frac{5}{2}

Decimal Notation

x = 0, x = 2.5

Solution steps

2 x^{3} = 5 x^{2}

Move

5 x^{2}

to the left side

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

Factor

2 x^{3} - 5 x^{2} : x^{2} (2 x - 5)

x^{2} (2 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 5 = 0

Solve

2 x - 5 = 0 : x = \frac{5}{2}

The solutions are

x = 0, x = \frac{5}{2}

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

(4 x + 8)^{2} (2 x - 6)^{3} = 0

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

x, 7 x^{6} = y^{2} x

x, x^{4} - 4 x^{2} - y = 0

What are the solutions to the equation 2x^3=5x^2 ?
The solutions to the equation 2x^3=5x^2 are x=0,x= 5/2
Find the zeros of 2x^3=5x^2
The zeros of 2x^3=5x^2 are x=0,x= 5/2