What are the solutions to the equation 5x^3=6x^2 ?

The solutions to the equation 5x^3=6x^2 are x=0,x= 6/5

Find the zeros of 5x^3=6x^2

The zeros of 5x^3=6x^2 are x=0,x= 6/5

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

x = 0, x = \frac{6}{5}

Decimal Notation

x = 0, x = 1.2

Solution steps

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

Move

6 x^{2}

to the left side

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

Factor

5 x^{3} - 6 x^{2} : x^{2} (5 x - 6)

x^{2} (5 x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x - 6 = 0

Solve

5 x - 6 = 0 : x = \frac{6}{5}

The solutions are

x = 0, x = \frac{6}{5}

x^{3} - 5 x^{2} + 2 x + 5

3^{5} \cdot 7^{5} = e^{5}

2 x^{4} - 10 x^{2} + 8 = 0

x^{3} + 1 = 0

10 x^{3} = (\frac{4}{3}) π a^{3}

What are the solutions to the equation 5x^3=6x^2 ?
The solutions to the equation 5x^3=6x^2 are x=0,x= 6/5
Find the zeros of 5x^3=6x^2
The zeros of 5x^3=6x^2 are x=0,x= 6/5