What are the solutions to the equation x(5x+8)=4 ?

The solutions to the equation x(5x+8)=4 are x= 2/5 ,x=-2

Find the zeros of x(5x+8)=4

The zeros of x(5x+8)=4 are x= 2/5 ,x=-2

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x (5 x + 8) = 4

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

Solution steps

x (5 x + 8) = 4

Expand

x (5 x + 8) : 5 x^{2} + 8 x

5 x^{2} + 8 x = 4

Move

4

to the left side

5 x^{2} + 8 x - 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 5 ( - 4 )}{2 \cdot 5}

8^{2} - 4 \cdot 5 (- 4) = 12

x_{1, 2} = \frac{- 8 \pm 12}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 8 + 12}{2 \cdot 5}, x_{2} = \frac{- 8 - 12}{2 \cdot 5}

x = \frac{- 8 + 12}{2 \cdot 5} : \frac{2}{5}

x = \frac{- 8 - 12}{2 \cdot 5} : - 2

The solutions to the quadratic equation are:

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

- 6 \cdot 5

\frac{3 ( 2 x + 1 )}{5} = 2 x - 5

\frac{1}{4} x + 7 \leq \frac{1}{3} x - 2

\frac{x}{x - 5} \leq \frac{1}{4}

y^{2} - 14 y + 49

What are the solutions to the equation x(5x+8)=4 ?
The solutions to the equation x(5x+8)=4 are x= 2/5 ,x=-2
Find the zeros of x(5x+8)=4
The zeros of x(5x+8)=4 are x= 2/5 ,x=-2