What are the solutions to the equation (x+11)(x+5)=-2 ?

The solutions to the equation (x+11)(x+5)=-2 are x=-8+sqrt(7),x=-8-sqrt(7)

Find the zeros of (x+11)(x+5)=-2

The zeros of (x+11)(x+5)=-2 are x=-8+sqrt(7),x=-8-sqrt(7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x + 11) (x + 5) = - 2

x = - 8 + 7, x = - 8 - 7

Decimal Notation

x = - 5.35424 \dots, x = - 10.64575 \dots

Solution steps

(x + 11) (x + 5) = - 2

Expand

(x + 11) (x + 5) : x^{2} + 16 x + 55

x^{2} + 16 x + 55 = - 2

Move

2

to the left side

x^{2} + 16 x + 57 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 1 \cdot 57}{2 \cdot 1}

1 6^{2} - 4 \cdot 1 \cdot 57 = 27

x_{1, 2} = \frac{- 16 \pm 2 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 16 + 2 7}{2 \cdot 1}, x_{2} = \frac{- 16 - 2 7}{2 \cdot 1}

x = \frac{- 16 + 2 7}{2 \cdot 1} : - 8 + 7

x = \frac{- 16 - 2 7}{2 \cdot 1} : - 8 - 7

The solutions to the quadratic equation are:

x = - 8 + 7, x = - 8 - 7

- 14 = - 9 x + 9

4 n^{2} + 13 n = - 3

7 x - 8 = - 3 x^{2}

15 x^{2} - x - 6 = 0

- 3 (3 x + 15) - (10 + x) = 35

What are the solutions to the equation (x+11)(x+5)=-2 ?
The solutions to the equation (x+11)(x+5)=-2 are x=-8+sqrt(7),x=-8-sqrt(7)
Find the zeros of (x+11)(x+5)=-2
The zeros of (x+11)(x+5)=-2 are x=-8+sqrt(7),x=-8-sqrt(7)