What are the solutions to the equation x(x-1)-2x=-6x ?

The solutions to the equation x(x-1)-2x=-6x are x=0,x=-3

Find the zeros of x(x-1)-2x=-6x

The zeros of x(x-1)-2x=-6x are x=0,x=-3

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x (x - 1) - 2 x = - 6 x

x = 0, x = - 3

Solution steps

x (x - 1) - 2 x = - 6 x

Expand

x (x - 1) - 2 x : x^{2} - 3 x

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

Move

6 x

to the left side

x^{2} + 3 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

3^{2} - 4 \cdot 1 \cdot 0 = 3

x_{1, 2} = \frac{- 3 \pm 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 + 3}{2 \cdot 1}, x_{2} = \frac{- 3 - 3}{2 \cdot 1}

x = \frac{- 3 + 3}{2 \cdot 1} : 0

x = \frac{- 3 - 3}{2 \cdot 1} : - 3

The solutions to the quadratic equation are:

x = 0, x = - 3

5 x^{2} + 12 x + 7

(500 \cdot 10 \cdot 70) = (500 \cdot 10 \cdot 30) + (\frac{1}{2} \cdot 500 \cdot x^{2})

- (4 x + 2) - 7 x = - 12 x + 1

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

4 x + 8 \geq 0

What are the solutions to the equation x(x-1)-2x=-6x ?
The solutions to the equation x(x-1)-2x=-6x are x=0,x=-3
Find the zeros of x(x-1)-2x=-6x
The zeros of x(x-1)-2x=-6x are x=0,x=-3