What are the solutions to the equation 3(x^2-81)(64x^2-25)=0 ?

The solutions to the equation 3(x^2-81)(64x^2-25)=0 are x=-9,x=9,x=-5/8 ,x= 5/8

Find the zeros of 3(x^2-81)(64x^2-25)=0

The zeros of 3(x^2-81)(64x^2-25)=0 are x=-9,x=9,x=-5/8 ,x= 5/8

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3 (x^{2} - 81) (64 x^{2} - 25) = 0

x = - 9, x = 9, x = - \frac{5}{8}, x = \frac{5}{8}

Decimal Notation

x = - 9, x = 9, x = - 0.625, x = 0.625

Solution steps

3 (x^{2} - 81) (64 x^{2} - 25) = 0

Factor

3 (x^{2} - 81) (64 x^{2} - 25) : 3 (x + 9) (x - 9) (8 x + 5) (8 x - 5)

3 (x + 9) (x - 9) (8 x + 5) (8 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 9 = 0 or x - 9 = 0 or 8 x + 5 = 0 or 8 x - 5 = 0

Solve

x + 9 = 0 : x = - 9

Solve

x - 9 = 0 : x = 9

Solve

8 x + 5 = 0 : x = - \frac{5}{8}

Solve

8 x - 5 = 0 : x = \frac{5}{8}

The solutions are

x = - 9, x = 9, x = - \frac{5}{8}, x = \frac{5}{8}

- x (x + 9) (x^{2} - 9) = 0

27 x^{3} + 27 x^{2} + 9 x + 1 = 0

4 x^{17} = 68

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

(81 x^{2} - 100) (x^{2} - 14) = 0

What are the solutions to the equation 3(x^2-81)(64x^2-25)=0 ?
The solutions to the equation 3(x^2-81)(64x^2-25)=0 are x=-9,x=9,x=-5/8 ,x= 5/8
Find the zeros of 3(x^2-81)(64x^2-25)=0
The zeros of 3(x^2-81)(64x^2-25)=0 are x=-9,x=9,x=-5/8 ,x= 5/8