What are the solutions to the equation 8x^7=9x^8 ?

The solutions to the equation 8x^7=9x^8 are x=0,x= 8/9

Find the zeros of 8x^7=9x^8

The zeros of 8x^7=9x^8 are x=0,x= 8/9

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8 x^{7} = 9 x^{8}

x = 0, x = \frac{8}{9}

Decimal Notation

x = 0, x = 0.88888 \dots

Solution steps

8 x^{7} = 9 x^{8}

Move

9 x^{8}

to the left side

8 x^{7} - 9 x^{8} = 0

Factor

8 x^{7} - 9 x^{8} : - x^{7} (9 x - 8)

- x^{7} (9 x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 9 x - 8 = 0

Solve

9 x - 8 = 0 : x = \frac{8}{9}

The solutions are

x = 0, x = \frac{8}{9}

5 (x - 1) = 5 (x^{5} + 2)

x^{3} + 13 x^{2} + 57 x + 85 = 0

w^{6} = - 27

0 = x (x - 4)^{3}

4 x^{3} = 108

What are the solutions to the equation 8x^7=9x^8 ?
The solutions to the equation 8x^7=9x^8 are x=0,x= 8/9
Find the zeros of 8x^7=9x^8
The zeros of 8x^7=9x^8 are x=0,x= 8/9