What are the solutions to the equation 2x-5x(x-2)=13x ?

The solutions to the equation 2x-5x(x-2)=13x are x=-1/5 ,x=0

Find the zeros of 2x-5x(x-2)=13x

The zeros of 2x-5x(x-2)=13x are x=-1/5 ,x=0

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2 x - 5 x (x - 2) = 13 x

x = - \frac{1}{5}, x = 0

Decimal Notation

x = - 0.2, x = 0

Solution steps

2 x - 5 x (x - 2) = 13 x

Expand

2 x - 5 x (x - 2) : - 5 x^{2} + 12 x

- 5 x^{2} + 12 x = 13 x

Move

13 x

to the left side

- 5 x^{2} - x = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = - \frac{1}{5}, x = 0

(\frac{2}{5}) 2

- x + 3 = 6

- 2 x + 6

h^{2} + 22.4 h = 1837

216 x^{3} - 64

What are the solutions to the equation 2x-5x(x-2)=13x ?
The solutions to the equation 2x-5x(x-2)=13x are x=-1/5 ,x=0
Find the zeros of 2x-5x(x-2)=13x
The zeros of 2x-5x(x-2)=13x are x=-1/5 ,x=0