Question

question
solve for all values of $c$ in simplest form.
$|4c - 10| = 50$
answer attempt 1 out of 2
additional solution $ominus$ no solution
$c = \square$

Explanation:

Step1: Split absolute value equation

Set up two cases: $4c - 10 = 50$ and $4c - 10 = -50$

Step2: Solve first case

Add 10 to both sides:
$4c = 50 + 10$
$4c = 60$
Divide by 4:
$c = \frac{60}{4} = 15$

Step3: Solve second case

Add 10 to both sides:
$4c = -50 + 10$
$4c = -40$
Divide by 4:
$c = \frac{-40}{4} = -10$

Answer:

$c = 15$ or $c = -10$