Question
Solve the equation
r1=−41,r2=41
Alternative Form
r1=−0.25,r2=0.25
Evaluate
−5∣−8r∣=−10
Calculate the absolute value
−5∣8r∣=−10
Change the sign
5∣8r∣=10
Divide both sides
55∣8r∣=510
Divide the numbers
∣8r∣=510
Divide the numbers
More Steps

Evaluate
510
Reduce the numbers
12
Calculate
2
∣8r∣=2
Separate the equation into 2 possible cases
8r=28r=−2
Solve the equation for r
More Steps

Evaluate
8r=2
Divide both sides
88r=82
Divide the numbers
r=82
Cancel out the common factor 2
r=41
r=418r=−2
Solve the equation for r
More Steps

Evaluate
8r=−2
Divide both sides
88r=8−2
Divide the numbers
r=8−2
Divide the numbers
More Steps

Evaluate
8−2
Cancel out the common factor 2
4−1
Use b−a=−ba=−ba to rewrite the fraction
−41
r=−41
r=41r=−41
Solution
r1=−41,r2=41
Alternative Form
r1=−0.25,r2=0.25
Show Solution
