What are the solutions to the equation X^3+6X^2=4X^3+4X^2-5X ?

The solutions to the equation X^3+6X^2=4X^3+4X^2-5X are X=0,X=-1,X= 5/3

Find the zeros of X^3+6X^2=4X^3+4X^2-5X

The zeros of X^3+6X^2=4X^3+4X^2-5X are X=0,X=-1,X= 5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

X^{3} + 6 X^{2} = 4 X^{3} + 4 X^{2} - 5 X

X = 0, X = - 1, X = \frac{5}{3}

Decimal Notation

X = 0, X = - 1, X = 1.66666 \dots

Solution steps

X^{3} + 6 X^{2} = 4 X^{3} + 4 X^{2} - 5 X

Switch sides

4 X^{3} + 4 X^{2} - 5 X = X^{3} + 6 X^{2}

Move

6 X^{2}

to the left side

4 X^{3} - 2 X^{2} - 5 X = X^{3}

Move

X^{3}

to the left side

3 X^{3} - 2 X^{2} - 5 X = 0

Factor

3 X^{3} - 2 X^{2} - 5 X : X (X + 1) (3 X - 5)

X (X + 1) (3 X - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

X = 0 or X + 1 = 0 or 3 X - 5 = 0

Solve

X + 1 = 0 : X = - 1

Solve

3 X - 5 = 0 : X = \frac{5}{3}

The solutions are

X = 0, X = - 1, X = \frac{5}{3}

x^{3} - 2 x^{2} - 11 x - 12 = 0

z^{6} - (3 + 2 i) z^{3} + 2 + 2 i = 0

16 x^{4} - x^{2} = 0

x^{3} - 3 x^{2} - 10 x + 24

\frac{Q ^{3}}{3} - 10 Q^{2} + 80 Q + 648 = 4 Q

What are the solutions to the equation X^3+6X^2=4X^3+4X^2-5X ?
The solutions to the equation X^3+6X^2=4X^3+4X^2-5X are X=0,X=-1,X= 5/3
Find the zeros of X^3+6X^2=4X^3+4X^2-5X
The zeros of X^3+6X^2=4X^3+4X^2-5X are X=0,X=-1,X= 5/3