What are the solutions to the equation x(x+9)=2x-12 ?

The solutions to the equation x(x+9)=2x-12 are x=-3,x=-4

Find the zeros of x(x+9)=2x-12

The zeros of x(x+9)=2x-12 are x=-3,x=-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x (x + 9) = 2 x - 12

x = - 3, x = - 4

Solution steps

x (x + 9) = 2 x - 12

Expand

x (x + 9) : x^{2} + 9 x

x^{2} + 9 x = 2 x - 12

Move

12

to the left side

x^{2} + 9 x + 12 = 2 x

Move

2 x

to the left side

x^{2} + 7 x + 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 1 \cdot 12}{2 \cdot 1}

7^{2} - 4 \cdot 1 \cdot 12 = 1

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

Separate the solutions

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

x = \frac{- 7 + 1}{2 \cdot 1} : - 3

x = \frac{- 7 - 1}{2 \cdot 1} : - 4

The solutions to the quadratic equation are:

x = - 3, x = - 4

x^{2} + \frac{1}{16} = 1

8 x^{2} + 5 x - 2 = 0

x^{2} - 105 x + 1260 = 0

x^{2} - 20 x = 17

x^{2} + 9 x + \frac{3}{4} = 0

What are the solutions to the equation x(x+9)=2x-12 ?
The solutions to the equation x(x+9)=2x-12 are x=-3,x=-4
Find the zeros of x(x+9)=2x-12
The zeros of x(x+9)=2x-12 are x=-3,x=-4