Question

How do you solve −5|3z+8|−5=−20?

Answer 1

Answer: z1 = 3.66667, z2 = 1.66667

Step by step explanation :

$- 5 |3z + 8| - 5 = - 20$

Move constant to the right side and change its sign.

$= > - 5 \times |3z + 8| = - 20 + 5$

Calculate the sum

$= > - 5 \times |3z + 8| = - 15$

Divide both sides of the equation by - 5

$= > |3z + 8| = 3$

Rewrite the absolute value equation as two separate equations, one positive and the other negative.

$= > 3z + 8 = 3 \\ \: \: \: \: \: \: \: \: 3z + 8 = - 3$

Solve both the equations for z.

$= > z1 = - \frac{11}{3} \\ \: \: \: \: \: \: \: \: z2 = - \frac{5}{3}$