What are the solutions to the equation (x-5)(2x)=(x-5)(4) ?

The solutions to the equation (x-5)(2x)=(x-5)(4) are x=5,x=2

Find the zeros of (x-5)(2x)=(x-5)(4)

The zeros of (x-5)(2x)=(x-5)(4) are x=5,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x - 5) (2 x) = (x - 5) (4)

x = 5, x = 2

Solution steps

(x - 5) (2 x) = (x - 5) (4)

Move

(x - 5) (4)

to the left side

(x - 5) \cdot 2 x - (x - 5) \cdot 4 = 0

Factor

(x - 5) \cdot 2 x - (x - 5) \cdot 4 : 2 (x - 5) (x - 2)

2 (x - 5) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or x - 2 = 0

Solve

x - 5 = 0 : x = 5

Solve

x - 2 = 0 : x = 2

The solutions to the quadratic equation are:

x = 5, x = 2

x, x^{2} - x = 20

x^{2} + 40 x + 100 = 0

3 x^{2} - 6 x - 16 = 0

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

2 x^{2} - 2 x = 3 x^{2} + 3 x - 50

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