Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
20t−2509
Evaluate
20t−250−4−21
Subtract the numbers
20t−254−21
Solution
More Steps
Evaluate
−254−21
Reduce fractions to a common denominator
−2254×2−21
Write all numerators above the common denominator
2−254×2−1
Multiply the numbers
2−508−1
Subtract the numbers
2−509
Use b−a=−ba=−ba to rewrite the fraction
−2509
20t−2509
Show Solution
Factor the expression
21(40t−509)
Evaluate
20t−250−4−21
Subtract the numbers
20t−254−21
Subtract the numbers
More Steps
Evaluate
−254−21
Reduce fractions to a common denominator
−2254×2−21
Write all numerators above the common denominator
2−254×2−1
Multiply the numbers
2−508−1
Subtract the numbers
2−509
Use b−a=−ba=−ba to rewrite the fraction
−2509
20t−2509
Solution
21(40t−509)
Show Solution
Find the roots
t=40509
Alternative Form
t=12.725
Evaluate
20t−250−4−21
To find the roots of the expression,set the expression equal to 0
20t−250−4−21=0
Subtract the numbers
20t−254−21=0
Subtract the numbers
More Steps
Simplify
20t−254−21
Subtract the numbers
More Steps
Evaluate
−254−21
Reduce fractions to a common denominator
−2254×2−21
Write all numerators above the common denominator
2−254×2−1
Multiply the numbers
2−508−1
Subtract the numbers
2−509
Use b−a=−ba=−ba to rewrite the fraction
−2509
20t−2509
20t−2509=0
Move the constant to the right-hand side and change its sign
20t=0+2509
Add the terms
20t=2509
Multiply by the reciprocal
20t×201=2509×201
Multiply
t=2509×201
Solution
More Steps
Evaluate
2509×201
To multiply the fractions,multiply the numerators and denominators separately
2×20509
Multiply the numbers
40509
t=40509
Alternative Form
t=12.725
Show Solution