Question
Solve the equation
t1=9,t2=51
Evaluate
42=∣t−30∣×2
Multiply the terms
42=2∣t−30∣
Swap the sides of the equation
2∣t−30∣=42
Divide both sides
22∣t−30∣=242
Divide the numbers
∣t−30∣=242
Divide the numbers
More Steps

Evaluate
242
Reduce the numbers
121
Calculate
21
∣t−30∣=21
Separate the equation into 2 possible cases
t−30=21t−30=−21
Solve the equation for t
More Steps

Evaluate
t−30=21
Move the constant to the right-hand side and change its sign
t=21+30
Add the numbers
t=51
t=51t−30=−21
Solve the equation for t
More Steps

Evaluate
t−30=−21
Move the constant to the right-hand side and change its sign
t=−21+30
Add the numbers
t=9
t=51t=9
Solution
t1=9,t2=51
Show Solution
