What are the solutions to the equation x(x-3)-2(x-3)=6 ?

The solutions to the equation x(x-3)-2(x-3)=6 are x=5,x=0

Find the zeros of x(x-3)-2(x-3)=6

The zeros of x(x-3)-2(x-3)=6 are x=5,x=0

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x (x - 3) - 2 (x - 3) = 6

x = 5, x = 0

Solution steps

x (x - 3) - 2 (x - 3) = 6

Expand

x (x - 3) - 2 (x - 3) : x^{2} - 5 x + 6

x^{2} - 5 x + 6 = 6

Move

6

to the left side

x^{2} - 5 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot 0 = 5

x_{1, 2} = \frac{- ( - 5 ) \pm 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 5}{2 \cdot 1}, x_{2} = \frac{- ( - 5 ) - 5}{2 \cdot 1}

x = \frac{- ( - 5 ) + 5}{2 \cdot 1} : 5

x = \frac{- ( - 5 ) - 5}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

x = 5, x = 0

2 (w - 2) (w + 1) - (w + 3) = 0

5000 x^{2} + 5000 x - 9254.27 = 0

6 x^{2} + x - 12 = 0

1.5 t - 0.12 t^{2} = 0

x^{2} - 2 x - \frac{3}{2} = 0

What are the solutions to the equation x(x-3)-2(x-3)=6 ?
The solutions to the equation x(x-3)-2(x-3)=6 are x=5,x=0
Find the zeros of x(x-3)-2(x-3)=6
The zeros of x(x-3)-2(x-3)=6 are x=5,x=0