What are the solutions to the equation 8x^4=6x^3 ?

The solutions to the equation 8x^4=6x^3 are x=0,x= 3/4

Find the zeros of 8x^4=6x^3

The zeros of 8x^4=6x^3 are x=0,x= 3/4

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8 x^{4} = 6 x^{3}

x = 0, x = \frac{3}{4}

Decimal Notation

x = 0, x = 0.75

Solution steps

8 x^{4} = 6 x^{3}

Move

6 x^{3}

to the left side

8 x^{4} - 6 x^{3} = 0

Factor

8 x^{4} - 6 x^{3} : 2 x^{3} (4 x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x - 3 = 0

Solve

4 x - 3 = 0 : x = \frac{3}{4}

The solutions are

x = 0, x = \frac{3}{4}

x^{3} + 7 x^{2} + 2 x + 14 = 0

x^{4} - 16 x^{3} + 76 x^{2} - 96 x + 16 = 0

3 x^{3} + x = 0

2 (x + 6) (16 x^{2} - 25) = 0

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

What are the solutions to the equation 8x^4=6x^3 ?
The solutions to the equation 8x^4=6x^3 are x=0,x= 3/4
Find the zeros of 8x^4=6x^3
The zeros of 8x^4=6x^3 are x=0,x= 3/4