What are the solutions to the equation 4x^3-15x^2=0 ?

The solutions to the equation 4x^3-15x^2=0 are x=0,x= 15/4

Find the zeros of 4x^3-15x^2=0

The zeros of 4x^3-15x^2=0 are x=0,x= 15/4

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4 x^{3} - 15 x^{2} = 0

x = 0, x = \frac{15}{4}

Solution steps

4 x^{3} - 15 x^{2} = 0

Factor

4 x^{3} - 15 x^{2} : x^{2} (4 x - 15)

x^{2} (4 x - 15) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x - 15 = 0

Solve

4 x - 15 = 0 : x = \frac{15}{4}

The solutions are

x = 0, x = \frac{15}{4}

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

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

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

2 x^{3} + 2 x = 0

- x^{3} + 7 x^{2} - 2 x - 40 = 0

What are the solutions to the equation 4x^3-15x^2=0 ?
The solutions to the equation 4x^3-15x^2=0 are x=0,x= 15/4
Find the zeros of 4x^3-15x^2=0
The zeros of 4x^3-15x^2=0 are x=0,x= 15/4