What are the solutions to the equation 2r^5-6r^4-56r^3=0 ?

The solutions to the equation 2r^5-6r^4-56r^3=0 are r=0,r=-4,r=7

Find the zeros of 2r^5-6r^4-56r^3=0

The zeros of 2r^5-6r^4-56r^3=0 are r=0,r=-4,r=7

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2 r^{5} - 6 r^{4} - 56 r^{3} = 0

r = 0, r = - 4, r = 7

Solution steps

2 r^{5} - 6 r^{4} - 56 r^{3} = 0

Factor

2 r^{5} - 6 r^{4} - 56 r^{3} : 2 r^{3} (r + 4) (r - 7)

2 r^{3} (r + 4) (r - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r = 0 or r + 4 = 0 or r - 7 = 0

Solve

r + 4 = 0 : r = - 4

Solve

r - 7 = 0 : r = 7

The solutions are

r = 0, r = - 4, r = 7

16 - x^{4} = 0

x^{4} - 14 x^{2} - 72 x + 85 = 0

x^{4} - x^{3} - 5 x^{2} - x - 6 = 0

3 m^{6} + 4 m^{4} + 4 m^{2} + 1 = 0

x^{2} (4 x - 2) = 324

What are the solutions to the equation 2r^5-6r^4-56r^3=0 ?
The solutions to the equation 2r^5-6r^4-56r^3=0 are r=0,r=-4,r=7
Find the zeros of 2r^5-6r^4-56r^3=0
The zeros of 2r^5-6r^4-56r^3=0 are r=0,r=-4,r=7