Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
198r2−19000r
Evaluate
r2×198−r×19000
Use the commutative property to reorder the terms
198r2−r×19000
Solution
198r2−19000r
Show Solution
Factor the expression
2r(99r−9500)
Evaluate
r2×198−r×19000
Use the commutative property to reorder the terms
198r2−r×19000
Use the commutative property to reorder the terms
198r2−19000r
Rewrite the expression
2r×99r−2r×9500
Solution
2r(99r−9500)
Show Solution
Find the roots
r1=0,r2=999500
Alternative Form
r1=0,r2=95.9˙5˙
Evaluate
r2×198−r×19000
To find the roots of the expression,set the expression equal to 0
r2×198−r×19000=0
Use the commutative property to reorder the terms
198r2−r×19000=0
Use the commutative property to reorder the terms
198r2−19000r=0
Factor the expression
More Steps
Evaluate
198r2−19000r
Rewrite the expression
2r×99r−2r×9500
Factor out 2r from the expression
2r(99r−9500)
2r(99r−9500)=0
When the product of factors equals 0,at least one factor is 0
2r=099r−9500=0
Solve the equation for r
r=099r−9500=0
Solve the equation for r
More Steps
Evaluate
99r−9500=0
Move the constant to the right-hand side and change its sign
99r=0+9500
Removing 0 doesn't change the value,so remove it from the expression
99r=9500
Divide both sides
9999r=999500
Divide the numbers
r=999500
r=0r=999500
Solution
r1=0,r2=999500
Alternative Form
r1=0,r2=95.9˙5˙
Show Solution