Solve for m
m=-4
Quiz
Linear Equation
5 problems similar to:
4 m - ( 2 m + 3 ) ( 3 m - 5 ) = 49 - ( 6 m - 1 ) ( m - 2 )
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4m-\left(6m^{2}-m-15\right)=49-\left(6m-1\right)\left(m-2\right)
Use the distributive property to multiply 2m+3 by 3m-5 and combine like terms.
4m-6m^{2}+m+15=49-\left(6m-1\right)\left(m-2\right)
To find the opposite of 6m^{2}-m-15, find the opposite of each term.
5m-6m^{2}+15=49-\left(6m-1\right)\left(m-2\right)
Combine 4m and m to get 5m.
5m-6m^{2}+15=49-\left(6m^{2}-13m+2\right)
Use the distributive property to multiply 6m-1 by m-2 and combine like terms.
5m-6m^{2}+15=49-6m^{2}+13m-2
To find the opposite of 6m^{2}-13m+2, find the opposite of each term.
5m-6m^{2}+15=47-6m^{2}+13m
Subtract 2 from 49 to get 47.
5m-6m^{2}+15+6m^{2}=47+13m
Add 6m^{2} to both sides.
5m+15=47+13m
Combine -6m^{2} and 6m^{2} to get 0.
5m+15-13m=47
Subtract 13m from both sides.
-8m+15=47
Combine 5m and -13m to get -8m.
-8m=47-15
Subtract 15 from both sides.
-8m=32
Subtract 15 from 47 to get 32.
m=\frac{32}{-8}
Divide both sides by -8.
m=-4
Divide 32 by -8 to get -4.
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