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

The solutions to the equation x(x+6)=7 are x=1,x=-7

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

The zeros of x(x+6)=7 are x=1,x=-7

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x (x + 6) = 7

x = 1, x = - 7

Solution steps

x (x + 6) = 7

Expand

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

x^{2} + 6 x = 7

Move

7

to the left side

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

Solve with the quadratic formula

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

6^{2} - 4 \cdot 1 \cdot (- 7) = 8

x_{1, 2} = \frac{- 6 \pm 8}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 8}{2 \cdot 1}, x_{2} = \frac{- 6 - 8}{2 \cdot 1}

x = \frac{- 6 + 8}{2 \cdot 1} : 1

x = \frac{- 6 - 8}{2 \cdot 1} : - 7

The solutions to the quadratic equation are:

x = 1, x = - 7

x^{2} + 21 = - 12 x

- 8 x^{2} + 14 x = 0

6 x^{2} - 6 x + 12 = 0

3 x^{2} - 8 x - 35 = 0

- 4 x^{2} + 4 x + 3

What are the solutions to the equation x(x+6)=7 ?
The solutions to the equation x(x+6)=7 are x=1,x=-7
Find the zeros of x(x+6)=7
The zeros of x(x+6)=7 are x=1,x=-7