What are the solutions to the equation (x+4)(x+6)=8 ?

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

Find the zeros of (x+4)(x+6)=8

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

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(x + 4) (x + 6) = 8

x = - 2, x = - 8

Solution steps

(x + 4) (x + 6) = 8

Expand

(x + 4) (x + 6) : x^{2} + 10 x + 24

x^{2} + 10 x + 24 = 8

Move

8

to the left side

x^{2} + 10 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 16}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 16 = 6

x_{1, 2} = \frac{- 10 \pm 6}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 6}{2 \cdot 1}, x_{2} = \frac{- 10 - 6}{2 \cdot 1}

x = \frac{- 10 + 6}{2 \cdot 1} : - 2

x = \frac{- 10 - 6}{2 \cdot 1} : - 8

The solutions to the quadratic equation are:

x = - 2, x = - 8

2 p^{2} + 8 p = - 3

8^{2} = 6^{2} + x^{2}

x (x - 7) + 12 = 0

2 (x + 5)^{2} - 32 = 0

2 x^{2} - (k - 1) x - k = 0

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