What are the solutions to the equation 6x^3-7x^2-6x=-7 ?

The solutions to the equation 6x^3-7x^2-6x=-7 are x= 7/6 ,x=-1,x=1

Find the zeros of 6x^3-7x^2-6x=-7

The zeros of 6x^3-7x^2-6x=-7 are x= 7/6 ,x=-1,x=1

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6 x^{3} - 7 x^{2} - 6 x = - 7

x = \frac{7}{6}, x = - 1, x = 1

Decimal Notation

x = 1.16666 \dots, x = - 1, x = 1

Solution steps

6 x^{3} - 7 x^{2} - 6 x = - 7

Move

7

to the left side

6 x^{3} - 7 x^{2} - 6 x + 7 = 0

Factor

6 x^{3} - 7 x^{2} - 6 x + 7 : (6 x - 7) (x + 1) (x - 1)

(6 x - 7) (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

6 x - 7 = 0 or x + 1 = 0 or x - 1 = 0

Solve

6 x - 7 = 0 : x = \frac{7}{6}

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = \frac{7}{6}, x = - 1, x = 1

z^{3} - 4 z^{2} + 9 z - 10 = 0

(9 + x^{2}) \cdot x = 3

4 x^{3} + 72 x^{2} + 200 x + 400 = 0

x^{3} - 8 x^{2} + 14 x - 12 = 0

(103) = 10 C^{3}

What are the solutions to the equation 6x^3-7x^2-6x=-7 ?
The solutions to the equation 6x^3-7x^2-6x=-7 are x= 7/6 ,x=-1,x=1
Find the zeros of 6x^3-7x^2-6x=-7
The zeros of 6x^3-7x^2-6x=-7 are x= 7/6 ,x=-1,x=1