What are the solutions to the equation -10x^3+6x^2+90x-54=0 ?

The solutions to the equation -10x^3+6x^2+90x-54=0 are x= 3/5 ,x=-3,x=3

Find the zeros of -10x^3+6x^2+90x-54=0

The zeros of -10x^3+6x^2+90x-54=0 are x= 3/5 ,x=-3,x=3

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- 10 x^{3} + 6 x^{2} + 90 x - 54 = 0

x = \frac{3}{5}, x = - 3, x = 3

Solution steps

- 10 x^{3} + 6 x^{2} + 90 x - 54 = 0

Factor

- 10 x^{3} + 6 x^{2} + 90 x - 54 : - 2 (5 x - 3) (x + 3) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

5 x - 3 = 0 : x = \frac{3}{5}

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = \frac{3}{5}, x = - 3, x = 3

- y^{3} + 5 y^{2} - 7 y + 3 = 0

z^{3} = 1 + 3 i

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

- 8 = p^{3}

x, f = 4 x^{3} + 2

What are the solutions to the equation -10x^3+6x^2+90x-54=0 ?
The solutions to the equation -10x^3+6x^2+90x-54=0 are x= 3/5 ,x=-3,x=3
Find the zeros of -10x^3+6x^2+90x-54=0
The zeros of -10x^3+6x^2+90x-54=0 are x= 3/5 ,x=-3,x=3