What are the solutions to the equation 9x^3+9x^2-25x-25=0 ?

The solutions to the equation 9x^3+9x^2-25x-25=0 are x=-1,x=-5/3 ,x= 5/3

Find the zeros of 9x^3+9x^2-25x-25=0

The zeros of 9x^3+9x^2-25x-25=0 are x=-1,x=-5/3 ,x= 5/3

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9 x^{3} + 9 x^{2} - 25 x - 25 = 0

x = - 1, x = - \frac{5}{3}, x = \frac{5}{3}

Decimal Notation

x = - 1, x = - 1.66666 \dots, x = 1.66666 \dots

Solution steps

9 x^{3} + 9 x^{2} - 25 x - 25 = 0

Factor

9 x^{3} + 9 x^{2} - 25 x - 25 : (x + 1) (3 x + 5) (3 x - 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

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

Solve

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

The solutions are

x = - 1, x = - \frac{5}{3}, x = \frac{5}{3}

x^{3} + 6 x^{2} - 36 = 0

z^{3} + 4 z^{2} - 25 z - 100 = 0

y^{3} - 1 = 0

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

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

What are the solutions to the equation 9x^3+9x^2-25x-25=0 ?
The solutions to the equation 9x^3+9x^2-25x-25=0 are x=-1,x=-5/3 ,x= 5/3
Find the zeros of 9x^3+9x^2-25x-25=0
The zeros of 9x^3+9x^2-25x-25=0 are x=-1,x=-5/3 ,x= 5/3