What are the solutions to the equation 6x^3+43x^2+43x+6=0 ?

The solutions to the equation 6x^3+43x^2+43x+6=0 are x=-1,x=-1/6 ,x=-6

Find the zeros of 6x^3+43x^2+43x+6=0

The zeros of 6x^3+43x^2+43x+6=0 are x=-1,x=-1/6 ,x=-6

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6 x^{3} + 43 x^{2} + 43 x + 6 = 0

x = - 1, x = - \frac{1}{6}, x = - 6

Decimal Notation

x = - 1, x = - 0.16666 \dots, x = - 6

Solution steps

6 x^{3} + 43 x^{2} + 43 x + 6 = 0

Factor

6 x^{3} + 43 x^{2} + 43 x + 6 : (x + 1) (6 x + 1) (x + 6)

(x + 1) (6 x + 1) (x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or 6 x + 1 = 0 or x + 6 = 0

Solve

x + 1 = 0 : x = - 1

Solve

6 x + 1 = 0 : x = - \frac{1}{6}

Solve

x + 6 = 0 : x = - 6

The solutions are

x = - 1, x = - \frac{1}{6}, x = - 6

(x^{2} + 8)^{2} - (x^{2} + 8) - 72 = 0

4 x^{4} - 12 x^{2} - 7 = 0

28 x^{3} - 6 x^{2} + 12 x - 8 = 0

100 = \frac{4}{3} π r^{3}

z^{4} - 81 = 0

What are the solutions to the equation 6x^3+43x^2+43x+6=0 ?
The solutions to the equation 6x^3+43x^2+43x+6=0 are x=-1,x=-1/6 ,x=-6
Find the zeros of 6x^3+43x^2+43x+6=0
The zeros of 6x^3+43x^2+43x+6=0 are x=-1,x=-1/6 ,x=-6