What is the answer to (x-24)(x+a)=x^2+48x-24a ?

The answer to (x-24)(x+a)=x^2+48x-24a is x=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-24)(x+a)=x^2+48x-24a

(x - 24) (x + a) = x^{2} + 48 x - 24 a

x = 0

Solution steps

(x - 24) (x + a) = x^{2} + 48 x - 24 a

Expand

(x - 24) (x + a) : x^{2} + a x - 24 x - 24 a

x^{2} + a x - 24 x - 24 a = x^{2} + 48 x - 24 a

Move

24 a

to the right side

x^{2} + a x - 24 x = x^{2} + 48 x

Subtract

x^{2} + 48 x

from both sides

x^{2} + a x - 24 x - (x^{2} + 48 x) = x^{2} + 48 x - (x^{2} + 48 x)

Simplify

a x - 72 x = 0

Factor

a x - 72 x : x (a - 72)

x (a - 72) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0

x, 7 y + 8 y = 12 - 3 x + x

- 2 c + 56 - 13 c = 32 - 52 c + 2

5 x - 8 = x + 6

2 x - \frac{3 x - 1}{3} = x + \frac{1}{3}

2 = 4 - 2 x

What is the answer to (x-24)(x+a)=x^2+48x-24a ?
The answer to (x-24)(x+a)=x^2+48x-24a is x=0