What are the solutions to the equation x(5x+13)=6 ?

The solutions to the equation x(5x+13)=6 are x= 2/5 ,x=-3

Find the zeros of x(5x+13)=6

The zeros of x(5x+13)=6 are x= 2/5 ,x=-3

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x (5 x + 13) = 6

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

Solution steps

x (5 x + 13) = 6

Expand

x (5 x + 13) : 5 x^{2} + 13 x

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 1 3 ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

1 3^{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} : \frac{2}{5}

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

The solutions to the quadratic equation are:

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

(5)^{2}

16 (\frac{9}{49}) + 24 (\frac{289}{49}) + 8 x = 48

3 x + 2 \leq 5 (x - 4)

x^{2} - 121 b^{10}

16 y - 8 (3 y - 6) = - 72

What are the solutions to the equation x(5x+13)=6 ?
The solutions to the equation x(5x+13)=6 are x= 2/5 ,x=-3
Find the zeros of x(5x+13)=6
The zeros of x(5x+13)=6 are x= 2/5 ,x=-3