Question
Simplify the expression
Solution
2026M2760M−2937
Evaluate
2−2937÷2026M−1292÷2026
Rewrite the expression
2−2026M2937−1292÷2026
Divide the terms
More Steps

Evaluate
1292÷2026
Rewrite the expression
20261292
Cancel out the common factor 2
1013646
2−2026M2937−1013646
Reduce fractions to a common denominator
2026M2×2026M−2026M2937−1013×2M646×2M
Multiply the numbers
2026M2×2026M−2026M2937−2026M646×2M
Write all numerators above the common denominator
2026M2×2026M−2937−646×2M
Multiply the terms
2026M4052M−2937−646×2M
Multiply the terms
2026M4052M−2937−1292M
Solution
More Steps

Evaluate
4052M−1292M
Collect like terms by calculating the sum or difference of their coefficients
(4052−1292)M
Subtract the numbers
2760M
2026M2760M−2937
Show Solution
Find the excluded values
Find the excluded values
M=0
Evaluate
2−2937÷2026M−1292÷2026
To find the excluded values,set the denominators equal to 0
2026M=0
Solution
M=0
Show Solution
Find the roots
Find the roots of the algebra expression
M=920979
Alternative Form
M≈1.06413
Evaluate
2−2937÷2026M−1292÷2026
To find the roots of the expression,set the expression equal to 0
2−2937÷2026M−1292÷2026=0
Find the domain
2−2937÷2026M−1292÷2026=0,M=0
Calculate
2−2937÷2026M−1292÷2026=0
Rewrite the expression
2−2026M2937−1292÷2026=0
Divide the terms
More Steps

Evaluate
1292÷2026
Rewrite the expression
20261292
Cancel out the common factor 2
1013646
2−2026M2937−1013646=0
Subtract the terms
More Steps

Simplify
2−2026M2937
Reduce fractions to a common denominator
2026M2×2026M−2026M2937
Write all numerators above the common denominator
2026M2×2026M−2937
Multiply the terms
2026M4052M−2937
2026M4052M−2937−1013646=0
Subtract the terms
More Steps

Simplify
2026M4052M−2937−1013646
Reduce fractions to a common denominator
2026M4052M−2937−1013×2M646×2M
Multiply the numbers
2026M4052M−2937−2026M646×2M
Write all numerators above the common denominator
2026M4052M−2937−646×2M
Multiply the terms
2026M4052M−2937−1292M
Subtract the terms
More Steps

Evaluate
4052M−1292M
Collect like terms by calculating the sum or difference of their coefficients
(4052−1292)M
Subtract the numbers
2760M
2026M2760M−2937
2026M2760M−2937=0
Cross multiply
2760M−2937=2026M×0
Simplify the equation
2760M−2937=0
Move the constant to the right side
2760M=0+2937
Removing 0 doesn't change the value,so remove it from the expression
2760M=2937
Divide both sides
27602760M=27602937
Divide the numbers
M=27602937
Cancel out the common factor 3
M=920979
Check if the solution is in the defined range
M=920979,M=0
Solution
M=920979
Alternative Form
M≈1.06413
Show Solution