What are the solutions to the equation 5x^2=5x^3-15x^2 ?

The solutions to the equation 5x^2=5x^3-15x^2 are x=0,x=4

Find the zeros of 5x^2=5x^3-15x^2

The zeros of 5x^2=5x^3-15x^2 are x=0,x=4

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5 x^{2} = 5 x^{3} - 15 x^{2}

x = 0, x = 4

Solution steps

5 x^{2} = 5 x^{3} - 15 x^{2}

Switch sides

5 x^{3} - 15 x^{2} = 5 x^{2}

Move

5 x^{2}

to the left side

5 x^{3} - 20 x^{2} = 0

Factor

5 x^{3} - 20 x^{2} : 5 x^{2} (x - 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 4 = 0

Solve

x - 4 = 0 : x = 4

The solutions are

x = 0, x = 4

14 x^{3} + 1 = x^{2}

3 x^{5} - 1 = 2

x^{4} = 18

2 x^{3} = 54

2 x^{3} = 8 x

What are the solutions to the equation 5x^2=5x^3-15x^2 ?
The solutions to the equation 5x^2=5x^3-15x^2 are x=0,x=4
Find the zeros of 5x^2=5x^3-15x^2
The zeros of 5x^2=5x^3-15x^2 are x=0,x=4