What are the solutions to the equation (w+6)(2w+6)=216 ?

The solutions to the equation (w+6)(2w+6)=216 are w=6,w=-15

Find the zeros of (w+6)(2w+6)=216

The zeros of (w+6)(2w+6)=216 are w=6,w=-15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(w + 6) (2 w + 6) = 216

w = 6, w = - 15

Solution steps

(w + 6) (2 w + 6) = 216

Expand

(w + 6) (2 w + 6) : 2 w^{2} + 18 w + 36

2 w^{2} + 18 w + 36 = 216

Move

216

to the left side

2 w^{2} + 18 w - 180 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 2 ( - 180 )}{2 \cdot 2}

1 8^{2} - 4 \cdot 2 (- 180) = 42

w_{1, 2} = \frac{- 18 \pm 42}{2 \cdot 2}

Separate the solutions

w_{1} = \frac{- 18 + 42}{2 \cdot 2}, w_{2} = \frac{- 18 - 42}{2 \cdot 2}

w = \frac{- 18 + 42}{2 \cdot 2} : 6

w = \frac{- 18 - 42}{2 \cdot 2} : - 15

The solutions to the quadratic equation are:

w = 6, w = - 15

56 (x + 1) + 56 x = - 15 x (x + 1)

x^{2} - 2

x^{2} - 10 x = - 40

x^{2} - 10 x = - 23

6 t^{2} - 18 t = 0

What are the solutions to the equation (w+6)(2w+6)=216 ?
The solutions to the equation (w+6)(2w+6)=216 are w=6,w=-15
Find the zeros of (w+6)(2w+6)=216
The zeros of (w+6)(2w+6)=216 are w=6,w=-15