What are the solutions to the equation 2x(x-2)=5x^2-6x ?

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

Find the zeros of 2x(x-2)=5x^2-6x

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

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2 x (x - 2) = 5 x^{2} - 6 x

x = 0, x = \frac{2}{3}

Solution steps

2 x (x - 2) = 5 x^{2} - 6 x

Expand

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

2 x^{2} - 4 x = 5 x^{2} - 6 x

Move

6 x

to the left side

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

Move

5 x^{2}

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 0, x = \frac{2}{3}

3 x + 1 < - 8

9 x^{2} + 6 x + 4 = 0

\frac{5 !}{1 ! \cdot ( 5 - 1 ) !}

- 19 = \frac{n}{8}

4 a + b - 12 a^{2} - 3 ab

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