What are the solutions to the equation 6x=(6-2)x^{180} ?

The solutions to the equation 6x=(6-2)x^{180} are x=0,x=\sqrt[179]{3/2}

Find the zeros of 6x=(6-2)x^{180}

The zeros of 6x=(6-2)x^{180} are x=0,x=\sqrt[179]{3/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6 x = (6 - 2) x^{180}

Decimal Notation

x = 0, x = 1.00226 \dots

Solution steps

6 x = (6 - 2) x^{180}

Expand

(6 - 2) x^{180} : 4 x^{180}

6 x = 4 x^{180}

Switch sides

4 x^{180} = 6 x

Move

6 x

to the left side

4 x^{180} - 6 x = 0

Factor

4 x^{180} - 6 x : 2 x (2 x^{179} - 3)

2 x (2 x^{179} - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x^{179} - 3 = 0

Solve

The solutions are

- 10 x + 9 x = 12

5 + 2 (x - 4) = 17

4 x + 3 (x - 2) = 18 - x

20 x - 6 = 154

4 x + 7 = 27

What are the solutions to the equation 6x=(6-2)x^{180} ?
The solutions to the equation 6x=(6-2)x^{180} are x=0,x=\sqrt[179]{3/2}
Find the zeros of 6x=(6-2)x^{180}
The zeros of 6x=(6-2)x^{180} are x=0,x=\sqrt[179]{3/2}