What are the solutions to the equation 2x^3-14x^2+14x+30=0 ?

The solutions to the equation 2x^3-14x^2+14x+30=0 are x=-1,x=3,x=5

Find the zeros of 2x^3-14x^2+14x+30=0

The zeros of 2x^3-14x^2+14x+30=0 are x=-1,x=3,x=5

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2 x^{3} - 14 x^{2} + 14 x + 30 = 0

x = - 1, x = 3, x = 5

Solution steps

2 x^{3} - 14 x^{2} + 14 x + 30 = 0

Factor

2 x^{3} - 14 x^{2} + 14 x + 30 : 2 (x + 1) (x - 3) (x - 5)

2 (x + 1) (x - 3) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 3 = 0 or x - 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 3 = 0 : x = 3

Solve

x - 5 = 0 : x = 5

The solutions are

x = - 1, x = 3, x = 5

b^{3} - b = 6

7 x - x^{3} = 0

4 x^{3} + 15 x^{2} + 8 x - 4 = 0

x^{3} - 15 x - 126 = 0

- x^{3} + x^{2} - x - 1 = 0

What are the solutions to the equation 2x^3-14x^2+14x+30=0 ?
The solutions to the equation 2x^3-14x^2+14x+30=0 are x=-1,x=3,x=5
Find the zeros of 2x^3-14x^2+14x+30=0
The zeros of 2x^3-14x^2+14x+30=0 are x=-1,x=3,x=5