Question
Solve the equation
r1=−3,r2=211
Alternative Form
r1=−3,r2=5.5
Evaluate
∣5−4r∣=17
Separate the equation into 2 possible cases
5−4r=175−4r=−17
Solve the equation for r
More Steps

Evaluate
5−4r=17
Move the constant to the right-hand side and change its sign
−4r=17−5
Subtract the numbers
−4r=12
Change the signs on both sides of the equation
4r=−12
Divide both sides
44r=4−12
Divide the numbers
r=4−12
Divide the numbers
More Steps

Evaluate
4−12
Reduce the numbers
1−3
Calculate
−3
r=−3
r=−35−4r=−17
Solve the equation for r
More Steps

Evaluate
5−4r=−17
Move the constant to the right-hand side and change its sign
−4r=−17−5
Subtract the numbers
−4r=−22
Change the signs on both sides of the equation
4r=22
Divide both sides
44r=422
Divide the numbers
r=422
Cancel out the common factor 2
r=211
r=−3r=211
Solution
r1=−3,r2=211
Alternative Form
r1=−3,r2=5.5
Show Solution
