Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
r1=−54,r2=2
Alternative Form
r1=−0.8,r2=2
Evaluate
3∣3−5r∣−3=18
Move the expression to the left side
3∣3−5r∣−3−18=0
Subtract the numbers
3∣3−5r∣−21=0
Separate the equation into 2 possible cases
3(3−5r)−21=0,3−5r≥03(−(3−5r))−21=0,3−5r<0
Solve the equation
More Steps
Evaluate
3(3−5r)−21=0
Calculate
More Steps
Evaluate
3(3−5r)−21
Expand the expression
9−15r−21
Subtract the numbers
−12−15r
−12−15r=0
Move the constant to the right-hand side and change its sign
−15r=0+12
Removing 0 doesn't change the value,so remove it from the expression
−15r=12
Change the signs on both sides of the equation
15r=−12
Divide both sides
1515r=15−12
Divide the numbers
r=15−12
Divide the numbers
More Steps
Evaluate
15−12
Cancel out the common factor 3
5−4
Use b−a=−ba=−ba to rewrite the fraction
−54
r=−54
r=−54,3−5r≥03(−(3−5r))−21=0,3−5r<0
Solve the inequality
More Steps
Evaluate
3−5r≥0
Move the constant to the right side
−5r≥0−3
Removing 0 doesn't change the value,so remove it from the expression
−5r≥−3
Change the signs on both sides of the inequality and flip the inequality sign
5r≤3
Divide both sides
55r≤53
Divide the numbers
r≤53
r=−54,r≤533(−(3−5r))−21=0,3−5r<0
Solve the equation
More Steps
Evaluate
3(−(3−5r))−21=0
Calculate
3(−3+5r)−21=0
Calculate
More Steps
Evaluate
3(−3+5r)−21
Expand the expression
−9+15r−21
Subtract the numbers
−30+15r
−30+15r=0
Move the constant to the right-hand side and change its sign
15r=0+30
Removing 0 doesn't change the value,so remove it from the expression
15r=30
Divide both sides
1515r=1530
Divide the numbers
r=1530
Divide the numbers
More Steps
Evaluate
1530
Reduce the numbers
12
Calculate
2
r=2
r=−54,r≤53r=2,3−5r<0
Solve the inequality
More Steps
Evaluate
3−5r<0
Move the constant to the right side
−5r<0−3
Removing 0 doesn't change the value,so remove it from the expression
−5r<−3
Change the signs on both sides of the inequality and flip the inequality sign
5r>3
Divide both sides
55r>53
Divide the numbers
r>53
r=−54,r≤53r=2,r>53
Find the intersection
r=−54r=2,r>53
Find the intersection
r=−54r=2
Solution
r1=−54,r2=2
Alternative Form
r1=−0.8,r2=2
Show Solution
Graph
