What are the solutions to the equation 3x^3+15x^2-12x=0 ?

The solutions to the equation 3x^3+15x^2-12x=0 are x=0,x=(-5+sqrt(41))/2 ,x=(-5-sqrt(41))/2

Find the zeros of 3x^3+15x^2-12x=0

The zeros of 3x^3+15x^2-12x=0 are x=0,x=(-5+sqrt(41))/2 ,x=(-5-sqrt(41))/2

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3 x^{3} + 15 x^{2} - 12 x = 0

x = 0, x = \frac{- 5 + 41}{2}, x = \frac{- 5 - 41}{2}

Decimal Notation

x = 0, x = 0.70156 \dots, x = - 5.70156 \dots

Solution steps

3 x^{3} + 15 x^{2} - 12 x = 0

Factor

3 x^{3} + 15 x^{2} - 12 x : 3 x (x^{2} + 5 x - 4)

3 x (x^{2} + 5 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 5 x - 4 = 0

Solve

x^{2} + 5 x - 4 = 0 : x = \frac{- 5 + 41}{2}, x = \frac{- 5 - 41}{2}

The solutions are

x = 0, x = \frac{- 5 + 41}{2}, x = \frac{- 5 - 41}{2}

2 x^{3} + 5 x^{2} - 6 x - 9

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

a, a^{4} = \frac{4}{3} a^{2} b + \frac{4}{9} b^{2}

y, x^{4} y - 20 = 0

2 x^{3} + 5 x^{2} - 13 x + 7 = 0

What are the solutions to the equation 3x^3+15x^2-12x=0 ?
The solutions to the equation 3x^3+15x^2-12x=0 are x=0,x=(-5+sqrt(41))/2 ,x=(-5-sqrt(41))/2
Find the zeros of 3x^3+15x^2-12x=0
The zeros of 3x^3+15x^2-12x=0 are x=0,x=(-5+sqrt(41))/2 ,x=(-5-sqrt(41))/2