What are the solutions to the equation 18n=2n^2 ?

The solutions to the equation 18n=2n^2 are n=0,n=9

Find the zeros of 18n=2n^2

The zeros of 18n=2n^2 are n=0,n=9

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18 n = 2 n^{2}

n = 0, n = 9

Solution steps

18 n = 2 n^{2}

Move

2 n^{2}

to the left side

18 n - 2 n^{2} = 0

Factor

18 n - 2 n^{2} : - 2 n (n - 9)

- 2 n (n - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

n = 0 or n - 9 = 0

Solve

n - 9 = 0 : n = 9

The solutions to the quadratic equation are:

n = 0, n = 9

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

0 = - x^{2} - 8 x - 16

3 x^{2} + 6 x + 2

x^{2} + 8 x + 12 = 0

12 x^{2} + 17 x - 40 = 0

What are the solutions to the equation 18n=2n^2 ?
The solutions to the equation 18n=2n^2 are n=0,n=9
Find the zeros of 18n=2n^2
The zeros of 18n=2n^2 are n=0,n=9