What are the solutions to the equation 3(x-5)(x+2)=8 ?

The solutions to the equation 3(x-5)(x+2)=8 are x=(9+sqrt(537))/6 ,x=(9-sqrt(537))/6

Find the zeros of 3(x-5)(x+2)=8

The zeros of 3(x-5)(x+2)=8 are x=(9+sqrt(537))/6 ,x=(9-sqrt(537))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 (x - 5) (x + 2) = 8

x = \frac{9 + 537}{6}, x = \frac{9 - 537}{6}

Decimal Notation

x = 5.36221 \dots, x = - 2.36221 \dots

Solution steps

3 (x - 5) (x + 2) = 8

Expand

3 (x - 5) (x + 2) : 3 x^{2} - 9 x - 30

3 x^{2} - 9 x - 30 = 8

Move

8

to the left side

3 x^{2} - 9 x - 38 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 3 ( - 38 )}{2 \cdot 3}

(- 9)^{2} - 4 \cdot 3 (- 38) = 537

x_{1, 2} = \frac{- ( - 9 ) \pm 537}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 537}{2 \cdot 3}, x_{2} = \frac{- ( - 9 ) - 537}{2 \cdot 3}

x = \frac{- ( - 9 ) + 537}{2 \cdot 3} : \frac{9 + 537}{6}

x = \frac{- ( - 9 ) - 537}{2 \cdot 3} : \frac{9 - 537}{6}

The solutions to the quadratic equation are:

x = \frac{9 + 537}{6}, x = \frac{9 - 537}{6}

4.9 t^{2} - 5.2 t - 125 = 0

6 x^{2} + 8 x - 8 = 0

9 x^{2} - 30 x + 29 = 0

y, x^{2} - y^{2} = 0

4 x^{2} + 10 x = 36

What are the solutions to the equation 3(x-5)(x+2)=8 ?
The solutions to the equation 3(x-5)(x+2)=8 are x=(9+sqrt(537))/6 ,x=(9-sqrt(537))/6
Find the zeros of 3(x-5)(x+2)=8
The zeros of 3(x-5)(x+2)=8 are x=(9+sqrt(537))/6 ,x=(9-sqrt(537))/6