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

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

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

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

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6 a^{2} = a^{3}

a = 0, a = 6

Solution steps

6 a^{2} = a^{3}

Switch sides

a^{3} = 6 a^{2}

Move

6 a^{2}

to the left side

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

Factor

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

a^{2} (a - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or a - 6 = 0

Solve

a - 6 = 0 : a = 6

The solutions are

a = 0, a = 6

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

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

1 - 3 (x + 4)^{3} = 25

\frac{x ^{3}}{3} - x = \frac{x}{3}

x^{4} - x^{3} - 11 x^{2} = x + 12

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