Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
51000−12c
Evaluate
500−600c÷250−300
Divide the terms
More Steps
Evaluate
600c÷250
Rewrite the expression
250600c
Cancel out the common factor 50
512c
500−512c−300
Subtract the numbers
200−512c
Reduce fractions to a common denominator
5200×5−512c
Write all numerators above the common denominator
5200×5−12c
Solution
51000−12c
Show Solution
Find the roots
c=3250
Alternative Form
c=83.3˙
Evaluate
500−600c÷250−300
To find the roots of the expression,set the expression equal to 0
500−600c÷250−300=0
Divide the terms
More Steps
Evaluate
600c÷250
Rewrite the expression
250600c
Cancel out the common factor 50
512c
500−512c−300=0
Subtract the terms
More Steps
Simplify
500−512c
Reduce fractions to a common denominator
5500×5−512c
Write all numerators above the common denominator
5500×5−12c
Multiply the numbers
52500−12c
52500−12c−300=0
Subtract the terms
More Steps
Simplify
52500−12c−300
Reduce fractions to a common denominator
52500−12c−5300×5
Write all numerators above the common denominator
52500−12c−300×5
Multiply the numbers
52500−12c−1500
Subtract the numbers
51000−12c
51000−12c=0
Simplify
1000−12c=0
Move the constant to the right side
−12c=0−1000
Removing 0 doesn't change the value,so remove it from the expression
−12c=−1000
Change the signs on both sides of the equation
12c=1000
Divide both sides
1212c=121000
Divide the numbers
c=121000
Solution
c=3250
Alternative Form
c=83.3˙
Show Solution