What are the solutions to the equation 3x(x-2)-23(x-3)=x-6 ?

The solutions to the equation 3x(x-2)-23(x-3)=x-6 are x=5

Find the zeros of 3x(x-2)-23(x-3)=x-6

The zeros of 3x(x-2)-23(x-3)=x-6 are x=5

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3 x (x - 2) - 23 (x - 3) = x - 6

x = 5

Solution steps

3 x (x - 2) - 23 (x - 3) = x - 6

Expand

3 x (x - 2) - 23 (x - 3) : 3 x^{2} - 29 x + 69

3 x^{2} - 29 x + 69 = x - 6

Move

6

to the left side

3 x^{2} - 29 x + 75 = x

Move

x

to the left side

3 x^{2} - 30 x + 75 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 3 \cdot 75}{2 \cdot 3}

(- 30)^{2} - 4 \cdot 3 \cdot 75 = 0

x_{1, 2} = \frac{- ( - 30 ) \pm 0}{2 \cdot 3}

x = \frac{- ( - 30 )}{2 \cdot 3}

\frac{- ( - 30 )}{2 \cdot 3} = 5

x = 5

The solution to the quadratic equation is:

x = 5

8 x^{2} + 27 = 0

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

x, 6 (y - 2)^{2} + 3 (x + 5)^{2} - 4 x - 3 = 0

- 3 (x + 6)^{2} + 1 = 37

x^{2} + 8 x - 2 = 18

What are the solutions to the equation 3x(x-2)-23(x-3)=x-6 ?
The solutions to the equation 3x(x-2)-23(x-3)=x-6 are x=5
Find the zeros of 3x(x-2)-23(x-3)=x-6
The zeros of 3x(x-2)-23(x-3)=x-6 are x=5