What are the solutions to the equation 4x^3-8x^2=9x-18 ?

The solutions to the equation 4x^3-8x^2=9x-18 are x=2,x=-3/2 ,x= 3/2

Find the zeros of 4x^3-8x^2=9x-18

The zeros of 4x^3-8x^2=9x-18 are x=2,x=-3/2 ,x= 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{3} - 8 x^{2} = 9 x - 18

x = 2, x = - \frac{3}{2}, x = \frac{3}{2}

Decimal Notation

x = 2, x = - 1.5, x = 1.5

Solution steps

4 x^{3} - 8 x^{2} = 9 x - 18

Move

18

to the left side

4 x^{3} - 8 x^{2} + 18 = 9 x

Move

9 x

to the left side

4 x^{3} - 8 x^{2} + 18 - 9 x = 0

Write in the standard form

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

4 x^{3} - 8 x^{2} - 9 x + 18 = 0

Factor

4 x^{3} - 8 x^{2} - 9 x + 18 : (x - 2) (2 x + 3) (2 x - 3)

(x - 2) (2 x + 3) (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or 2 x + 3 = 0 or 2 x - 3 = 0

Solve

x - 2 = 0 : x = 2

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

2 x - 3 = 0 : x = \frac{3}{2}

The solutions are

x = 2, x = - \frac{3}{2}, x = \frac{3}{2}

n^{3} - 5 n^{2} - n + 5 = 0

x^{3} + 3.1798 x^{2} - 670.63 = 0

2 a^{3} - 21 a^{2} - 14 a + 33 = 0

y, x^{2} (x^{2} + y^{2}) = y^{2}

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

What are the solutions to the equation 4x^3-8x^2=9x-18 ?
The solutions to the equation 4x^3-8x^2=9x-18 are x=2,x=-3/2 ,x= 3/2
Find the zeros of 4x^3-8x^2=9x-18
The zeros of 4x^3-8x^2=9x-18 are x=2,x=-3/2 ,x= 3/2