Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−51m−54
Evaluate
52m−54−53m
Solution
More Steps
Evaluate
52m−53m
Collect like terms by calculating the sum or difference of their coefficients
(52−53)m
Subtract the numbers
More Steps
Evaluate
52−53
Write all numerators above the common denominator
52−3
Subtract the numbers
5−1
Use b−a=−ba=−ba to rewrite the fraction
−51
−51m
−51m−54
Show Solution
Factor the expression
−51(m+4)
Evaluate
52m−54−53m
Subtract the terms
More Steps
Evaluate
52m−53m
Collect like terms by calculating the sum or difference of their coefficients
(52−53)m
Subtract the numbers
More Steps
Evaluate
52−53
Write all numerators above the common denominator
52−3
Subtract the numbers
5−1
Use b−a=−ba=−ba to rewrite the fraction
−51
−51m
−51m−54
Solution
−51(m+4)
Show Solution
Find the roots
m=−4
Evaluate
52m−54−53m
To find the roots of the expression,set the expression equal to 0
52m−54−53m=0
Subtract the terms
More Steps
Simplify
52m−54−53m
Subtract the terms
More Steps
Evaluate
52m−53m
Collect like terms by calculating the sum or difference of their coefficients
(52−53)m
Subtract the numbers
−51m
−51m−54
−51m−54=0
Move the constant to the right-hand side and change its sign
−51m=0+54
Add the terms
−51m=54
Change the signs on both sides of the equation
51m=−54
Multiply by the reciprocal
51m×5=−54×5
Multiply
m=−54×5
Solution
More Steps
Evaluate
−54×5
Reduce the numbers
−4×1
Simplify
−4
m=−4
Show Solution