What are the solutions to the equation 2z(5z-3)=-15z+9 ?

The solutions to the equation 2z(5z-3)=-15z+9 are z= 3/5 ,z=-3/2

Find the zeros of 2z(5z-3)=-15z+9

The zeros of 2z(5z-3)=-15z+9 are z= 3/5 ,z=-3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 z (5 z - 3) = - 15 z + 9

z = \frac{3}{5}, z = - \frac{3}{2}

Decimal Notation

z = 0.6, z = - 1.5

Solution steps

2 z (5 z - 3) = - 15 z + 9

Expand

2 z (5 z - 3) : 10 z^{2} - 6 z

10 z^{2} - 6 z = - 15 z + 9

Move

9

to the left side

10 z^{2} - 6 z - 9 = - 15 z

Move

15 z

to the left side

10 z^{2} + 9 z - 9 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 10 ( - 9 )}{2 \cdot 10}

9^{2} - 4 \cdot 10 (- 9) = 21

z_{1, 2} = \frac{- 9 \pm 21}{2 \cdot 10}

Separate the solutions

z_{1} = \frac{- 9 + 21}{2 \cdot 10}, z_{2} = \frac{- 9 - 21}{2 \cdot 10}

z = \frac{- 9 + 21}{2 \cdot 10} : \frac{3}{5}

z = \frac{- 9 - 21}{2 \cdot 10} : - \frac{3}{2}

The solutions to the quadratic equation are:

z = \frac{3}{5}, z = - \frac{3}{2}

- 5 x = 1

3 - x = 9

\frac{2 i}{- 2 i}

x y + 4 x - 2 y - 8

What are the solutions to the equation 2z(5z-3)=-15z+9 ?
The solutions to the equation 2z(5z-3)=-15z+9 are z= 3/5 ,z=-3/2
Find the zeros of 2z(5z-3)=-15z+9
The zeros of 2z(5z-3)=-15z+9 are z= 3/5 ,z=-3/2