Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
w=0
Evaluate
−3107×w−102w=−2w
Simplify
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Evaluate
−3107×w−102w
Covert the mixed number to an improper fraction
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Convert the expressions
3107
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
103×10+7
Multiply the terms
1030+7
Add the terms
1037
−1037w−102w
Cancel out the common factor 2
−1037w−51w
Collect like terms by calculating the sum or difference of their coefficients
(−1037−51)w
Subtract the numbers
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Evaluate
−1037−51
Reduce fractions to a common denominator
−1037−5×22
Multiply the numbers
−1037−102
Write all numerators above the common denominator
10−37−2
Subtract the numbers
10−39
Use b−a=−ba=−ba to rewrite the fraction
−1039
−1039w
−1039w=−2w
Add or subtract both sides
−1039w−(−2w)=0
Subtract the terms
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Evaluate
−1039w−(−2w)
Collect like terms by calculating the sum or difference of their coefficients
(−1039−(−2))w
Subtract the terms
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Evaluate
−1039−(−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−1039+2
Reduce fractions to a common denominator
−1039+102×10
Write all numerators above the common denominator
10−39+2×10
Multiply the numbers
10−39+20
Add the numbers
10−19
Use b−a=−ba=−ba to rewrite the fraction
−1019
−1019w
−1019w=0
Change the signs on both sides of the equation
1019w=0
Solution
w=0
Show Solution
Graph
