What are the solutions to the equation 5x(x-2)=6+3x ?

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

Find the zeros of 5x(x-2)=6+3x

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

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

x = 3, x = - \frac{2}{5}

Decimal Notation

x = 3, x = - 0.4

Solution steps

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

Expand

5 x (x - 2) : 5 x^{2} - 10 x

5 x^{2} - 10 x = 6 + 3 x

Move

3 x

to the left side

5 x^{2} - 13 x = 6

Move

6

to the left side

5 x^{2} - 13 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

(- 13)^{2} - 4 \cdot 5 (- 6) = 17

x_{1, 2} = \frac{- ( - 13 ) \pm 17}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 17}{2 \cdot 5}, x_{2} = \frac{- ( - 13 ) - 17}{2 \cdot 5}

x = \frac{- ( - 13 ) + 17}{2 \cdot 5} : 3

x = \frac{- ( - 13 ) - 17}{2 \cdot 5} : - \frac{2}{5}

The solutions to the quadratic equation are:

x = 3, x = - \frac{2}{5}

x, x^{2} - 15 - m (2 x - 8) = 0

x^{2} - 5 x + 3 = 0

5 x^{2} + 10 x + 8 = 0

3 x^{2} + 10 x + 73 = 0

3 x^{2} - 18 x - 42 = 6

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