What are the solutions to the equation 5(x+2)^2=-6x+44 ?

The solutions to the equation 5(x+2)^2=-6x+44 are x= 4/5 ,x=-6

Find the zeros of 5(x+2)^2=-6x+44

The zeros of 5(x+2)^2=-6x+44 are x= 4/5 ,x=-6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 (x + 2)^{2} = - 6 x + 44

x = \frac{4}{5}, x = - 6

Decimal Notation

x = 0.8, x = - 6

Solution steps

5 (x + 2)^{2} = - 6 x + 44

Expand

5 (x + 2)^{2} : 5 x^{2} + 20 x + 20

5 x^{2} + 20 x + 20 = - 6 x + 44

Move

44

to the left side

5 x^{2} + 20 x - 24 = - 6 x

Move

6 x

to the left side

5 x^{2} + 26 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 26 \pm 2 6 ^{2} - 4 \cdot 5 ( - 24 )}{2 \cdot 5}

2 6^{2} - 4 \cdot 5 (- 24) = 34

x_{1, 2} = \frac{- 26 \pm 34}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 26 + 34}{2 \cdot 5}, x_{2} = \frac{- 26 - 34}{2 \cdot 5}

x = \frac{- 26 + 34}{2 \cdot 5} : \frac{4}{5}

x = \frac{- 26 - 34}{2 \cdot 5} : - 6

The solutions to the quadratic equation are:

x = \frac{4}{5}, x = - 6

(x - 2)^{2} - 9 < 0

- 6 c^{2} + 12 c

3 x^{2} + 4 x - 15 = 0

3 (x - 3) (x + 3) = 2 (x - 1)

6 (2 - x) = 2 x + 4

What are the solutions to the equation 5(x+2)^2=-6x+44 ?
The solutions to the equation 5(x+2)^2=-6x+44 are x= 4/5 ,x=-6
Find the zeros of 5(x+2)^2=-6x+44
The zeros of 5(x+2)^2=-6x+44 are x= 4/5 ,x=-6