Question
Simplify the expression
3m+m2
Evaluate
m+m+m+m2
Write the repeated addition as multiplication
m×3+m2
Solution
3m+m2
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Factor the expression
m(3+m)
Evaluate
m+m+m+m2
Add the terms
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Evaluate
m+m+m
Collect like terms by calculating the sum or difference of their coefficients
(1+1+1)m
Add the numbers
3m
3m+m2
Rewrite the expression
m×3+m×m
Solution
m(3+m)
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Find the roots
m1=−3,m2=0
Evaluate
m+m+m+m2
To find the roots of the expression,set the expression equal to 0
m+m+m+m2=0
Add the terms
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Evaluate
m+m+m+m2
Add the terms
More Steps

Evaluate
m+m+m
Collect like terms by calculating the sum or difference of their coefficients
(1+1+1)m
Add the numbers
3m
3m+m2
3m+m2=0
Factor the expression
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Evaluate
3m+m2
Rewrite the expression
m×3+m×m
Factor out m from the expression
m(3+m)
m(3+m)=0
When the product of factors equals 0,at least one factor is 0
m=03+m=0
Solve the equation for m
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Evaluate
3+m=0
Move the constant to the right-hand side and change its sign
m=0−3
Removing 0 doesn't change the value,so remove it from the expression
m=−3
m=0m=−3
Solution
m1=−3,m2=0
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