What are the solutions to the equation (3x-6)-15x=4x^6x ?

The solutions to the equation (3x-6)-15x=4x^6x are x\approx-0.49748…

Find the zeros of (3x-6)-15x=4x^6x

The zeros of (3x-6)-15x=4x^6x are x\approx-0.49748…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(3 x - 6) - 15 x = 4 x^{6} x

x \approx - 0.49748 \dots

Solution steps

(3 x - 6) - 15 x = 4 x^{6} x

Expand

4 x^{6} x : 4 x^{7}

- 12 x - 6 = 4 x^{7}

Switch sides

4 x^{7} = - 12 x - 6

Move

6

to the left side

4 x^{7} + 6 = - 12 x

Move

12 x

to the left side

4 x^{7} + 6 + 12 x = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

4 x^{7} + 12 x + 6 = 0

Find one solution for

4 x^{7} + 12 x + 6 = 0

using Newton-Raphson:

x \approx - 0.49748 \dots

Apply long division:

\frac{4 x ^{7} + 12 x + 6}{x + 0.49748 \dots} = 4 x^{6} - 1.98994 \dots x^{5} + 0.98996 \dots x^{4} - 0.49249 \dots x^{3} + 0.24501 \dots x^{2} - 0.12188 \dots x + 12.06063 \dots

4 x^{6} - 1.98994 \dots x^{5} + 0.98996 \dots x^{4} - 0.49249 \dots x^{3} + 0.24501 \dots x^{2} - 0.12188 \dots x + 12.06063 \dots \approx 0

Find one solution for

4 x^{6} - 1.98994 \dots x^{5} + 0.98996 \dots x^{4} - 0.49249 \dots x^{3} + 0.24501 \dots x^{2} - 0.12188 \dots x + 12.06063 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.49748 \dots

x^{12} = 832

y^{3} + 3 y^{2} = 81 y + 243

(x + 1)^{3} - (x - 1) = 6 x (x - 3)

x^{3} - 7 x - 8 = 0

675 = 5 x^{3}

What are the solutions to the equation (3x-6)-15x=4x^6x ?
The solutions to the equation (3x-6)-15x=4x^6x are x\approx-0.49748…
Find the zeros of (3x-6)-15x=4x^6x
The zeros of (3x-6)-15x=4x^6x are x\approx-0.49748…