What are the solutions to the equation 2x*(x-3)-x*(x-3)=0 ?

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

Find the zeros of 2x*(x-3)-x*(x-3)=0

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

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2 x \cdot (x - 3) - x \cdot (x - 3) = 0

x = 3, x = 0

Solution steps

2 x (x - 3) - x (x - 3) = 0

Expand

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

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} : 3

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

The solutions to the quadratic equation are:

x = 3, x = 0

x^{2} - 2 x + 1 - x = - 2 x^{2} + x

5 (x - 2)^{2} = - 20

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

x (2 x + 3) - 5 = 6 x

x^{2} + 20 x - 2400 = 0

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