What are the solutions to the equation x(5x+7)=6 ?

The solutions to the equation x(5x+7)=6 are x= 3/5 ,x=-2

Find the zeros of x(5x+7)=6

The zeros of x(5x+7)=6 are x= 3/5 ,x=-2

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x (5 x + 7) = 6

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

Decimal Notation

x = 0.6, x = - 2

Solution steps

x (5 x + 7) = 6

Expand

x (5 x + 7) : 5 x^{2} + 7 x

5 x^{2} + 7 x = 6

Move

6

to the left side

5 x^{2} + 7 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

7^{2} - 4 \cdot 5 (- 6) = 13

x_{1, 2} = \frac{- 7 \pm 13}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 7 + 13}{2 \cdot 5}, x_{2} = \frac{- 7 - 13}{2 \cdot 5}

x = \frac{- 7 + 13}{2 \cdot 5} : \frac{3}{5}

x = \frac{- 7 - 13}{2 \cdot 5} : - 2

The solutions to the quadratic equation are:

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

x^{2} + 16 x + 100 = 0

- 7 < 5 x + 3 \leq 16

2 x - 5 \geq 1

(- 8 y^{9})^{\frac{1}{3}}

x^{2} - 4 x - 4 = 8

What are the solutions to the equation x(5x+7)=6 ?
The solutions to the equation x(5x+7)=6 are x= 3/5 ,x=-2
Find the zeros of x(5x+7)=6
The zeros of x(5x+7)=6 are x= 3/5 ,x=-2