Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−5238t
Evaluate
(34×10t)−51t
Multiply the terms
More Steps
Multiply the terms
34×10t
Cancel out the common factor 2
17×5t
Multiply the terms
517t
517t−51t
Reduce fractions to a common denominator
517t−551t×5
Write all numerators above the common denominator
517t−51t×5
Multiply the terms
517t−255t
Subtract the terms
More Steps
Evaluate
17t−255t
Collect like terms by calculating the sum or difference of their coefficients
(17−255)t
Subtract the numbers
−238t
5−238t
Solution
−5238t
Show Solution
Find the roots
t=0
Evaluate
(34×10t)−51t
To find the roots of the expression,set the expression equal to 0
(34×10t)−51t=0
Multiply the terms
More Steps
Multiply the terms
34×10t
Cancel out the common factor 2
17×5t
Multiply the terms
517t
517t−51t=0
Subtract the terms
More Steps
Simplify
517t−51t
Reduce fractions to a common denominator
517t−551t×5
Write all numerators above the common denominator
517t−51t×5
Multiply the terms
517t−255t
Subtract the terms
More Steps
Evaluate
17t−255t
Collect like terms by calculating the sum or difference of their coefficients
(17−255)t
Subtract the numbers
−238t
5−238t
Use b−a=−ba=−ba to rewrite the fraction
−5238t
−5238t=0
Simplify
−238t=0
Change the signs on both sides of the equation
238t=0
Solution
t=0
Show Solution