What are the solutions to the equation x(5x+6)=8 ?

The solutions to the equation x(5x+6)=8 are x= 4/5 ,x=-2

Find the zeros of x(5x+6)=8

The zeros of x(5x+6)=8 are x= 4/5 ,x=-2

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x (5 x + 6) = 8

x = \frac{4}{5}, x = - 2

Decimal Notation

x = 0.8, x = - 2

Solution steps

x (5 x + 6) = 8

Expand

x (5 x + 6) : 5 x^{2} + 6 x

5 x^{2} + 6 x = 8

Move

8

to the left side

5 x^{2} + 6 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 5 ( - 8 )}{2 \cdot 5}

6^{2} - 4 \cdot 5 (- 8) = 14

x_{1, 2} = \frac{- 6 \pm 14}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 6 + 14}{2 \cdot 5}, x_{2} = \frac{- 6 - 14}{2 \cdot 5}

x = \frac{- 6 + 14}{2 \cdot 5} : \frac{4}{5}

x = \frac{- 6 - 14}{2 \cdot 5} : - 2

The solutions to the quadratic equation are:

x = \frac{4}{5}, x = - 2

3 x - 18

5 x + 2 = - 3

\frac{( \frac{3}{2} ) ^{6}}{( \frac{3}{5} ) ^{6}} - [(\frac{5}{2})^{2}]^{3}

3 n^{2} - 16 n + 5

What are the solutions to the equation x(5x+6)=8 ?
The solutions to the equation x(5x+6)=8 are x= 4/5 ,x=-2
Find the zeros of x(5x+6)=8
The zeros of x(5x+6)=8 are x= 4/5 ,x=-2