Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
200h−241973
Evaluate
200h−3−2−600125−77
Cancel out the common factor 25
200h−3−2−245−77
Subtract the numbers
200h−82−245
Solution
More Steps
Evaluate
−82−245
Reduce fractions to a common denominator
−2482×24−245
Write all numerators above the common denominator
24−82×24−5
Multiply the numbers
24−1968−5
Subtract the numbers
24−1973
Use b−a=−ba=−ba to rewrite the fraction
−241973
200h−241973
Show Solution
Factor the expression
241(4800h−1973)
Evaluate
200h−3−2−600125−77
Cancel out the common factor 25
200h−3−2−245−77
Subtract the numbers
200h−5−245−77
Subtract the numbers
More Steps
Simplify
200h−5−245
Subtract the numbers
More Steps
Evaluate
−5−245
Reduce fractions to a common denominator
−245×24−245
Write all numerators above the common denominator
24−5×24−5
Multiply the numbers
24−120−5
Subtract the numbers
24−125
Use b−a=−ba=−ba to rewrite the fraction
−24125
200h−24125
200h−24125−77
Subtract the numbers
More Steps
Evaluate
−24125−77
Reduce fractions to a common denominator
−24125−2477×24
Write all numerators above the common denominator
24−125−77×24
Multiply the numbers
24−125−1848
Subtract the numbers
24−1973
Use b−a=−ba=−ba to rewrite the fraction
−241973
200h−241973
Solution
241(4800h−1973)
Show Solution
Find the roots
h=48001973
Alternative Form
h≈0.411042
Evaluate
200h−3−2−600125−77
To find the roots of the expression,set the expression equal to 0
200h−3−2−600125−77=0
Cancel out the common factor 25
200h−3−2−245−77=0
Subtract the numbers
200h−5−245−77=0
Subtract the numbers
More Steps
Simplify
200h−5−245
Subtract the numbers
More Steps
Evaluate
−5−245
Reduce fractions to a common denominator
−245×24−245
Write all numerators above the common denominator
24−5×24−5
Multiply the numbers
24−120−5
Subtract the numbers
24−125
Use b−a=−ba=−ba to rewrite the fraction
−24125
200h−24125
200h−24125−77=0
Subtract the numbers
More Steps
Simplify
200h−24125−77
Subtract the numbers
More Steps
Evaluate
−24125−77
Reduce fractions to a common denominator
−24125−2477×24
Write all numerators above the common denominator
24−125−77×24
Multiply the numbers
24−125−1848
Subtract the numbers
24−1973
Use b−a=−ba=−ba to rewrite the fraction
−241973
200h−241973
200h−241973=0
Move the constant to the right-hand side and change its sign
200h=0+241973
Add the terms
200h=241973
Multiply by the reciprocal
200h×2001=241973×2001
Multiply
h=241973×2001
Solution
More Steps
Evaluate
241973×2001
To multiply the fractions,multiply the numerators and denominators separately
24×2001973
Multiply the numbers
48001973
h=48001973
Alternative Form
h≈0.411042
Show Solution