What are the solutions to the equation x(3x-7)=20 ?

The solutions to the equation x(3x-7)=20 are x=4,x=-5/3

Find the zeros of x(3x-7)=20

The zeros of x(3x-7)=20 are x=4,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 x - 7) = 20

x = 4, x = - \frac{5}{3}

Decimal Notation

x = 4, x = - 1.66666 \dots

Solution steps

x (3 x - 7) = 20

Expand

x (3 x - 7) : 3 x^{2} - 7 x

3 x^{2} - 7 x = 20

Move

20

to the left side

3 x^{2} - 7 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 ( - 20 )}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 (- 20) = 17

x_{1, 2} = \frac{- ( - 7 ) \pm 17}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 17}{2 \cdot 3}, x_{2} = \frac{- ( - 7 ) - 17}{2 \cdot 3}

x = \frac{- ( - 7 ) + 17}{2 \cdot 3} : 4

x = \frac{- ( - 7 ) - 17}{2 \cdot 3} : - \frac{5}{3}

The solutions to the quadratic equation are:

x = 4, x = - \frac{5}{3}

4 (- 2 y + 1) 8 y = - 8

3 = 5 (x^{2} + 2 x)

F = m v^{2}

0 = - 6 x^{2} + 54

- r^{2} - 18 = 3 r - 2 r^{2}

What are the solutions to the equation x(3x-7)=20 ?
The solutions to the equation x(3x-7)=20 are x=4,x=-5/3
Find the zeros of x(3x-7)=20
The zeros of x(3x-7)=20 are x=4,x=-5/3