What are the solutions to the equation 3x(x-4)=x-4 ?

The solutions to the equation 3x(x-4)=x-4 are x=4,x= 1/3

Find the zeros of 3x(x-4)=x-4

The zeros of 3x(x-4)=x-4 are x=4,x= 1/3

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3 x (x - 4) = x - 4

x = 4, x = \frac{1}{3}

Solution steps

3 x (x - 4) = x - 4

Expand

3 x (x - 4) : 3 x^{2} - 12 x

3 x^{2} - 12 x = x - 4

Move

4

to the left side

3 x^{2} - 12 x + 4 = x

Move

x

to the left side

3 x^{2} - 13 x + 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 3 \cdot 4}{2 \cdot 3}

(- 13)^{2} - 4 \cdot 3 \cdot 4 = 11

x_{1, 2} = \frac{- ( - 13 ) \pm 11}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 11}{2 \cdot 3}, x_{2} = \frac{- ( - 13 ) - 11}{2 \cdot 3}

x = \frac{- ( - 13 ) + 11}{2 \cdot 3} : 4

x = \frac{- ( - 13 ) - 11}{2 \cdot 3} : \frac{1}{3}

The solutions to the quadratic equation are:

x = 4, x = \frac{1}{3}

(2 x + 3) (2 x + 3)

m^{2} - 25

3 m^{3} - 6 m^{2}

x^{2} > ∣ x ∣

x^{2} - 8 x = - 9

What are the solutions to the equation 3x(x-4)=x-4 ?
The solutions to the equation 3x(x-4)=x-4 are x=4,x= 1/3
Find the zeros of 3x(x-4)=x-4
The zeros of 3x(x-4)=x-4 are x=4,x= 1/3