7m^2-4m=3m*(m-7/2)

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Solution for 7m^2-4m=3m*(m-7/2) equation:


m in (-oo:+oo)

7*m^2-(4*m) = 3*m*(m-(7/2)) // - 3*m*(m-(7/2))

7*m^2-(3*m*(m-(7/2)))-(4*m) = 0

7*m^2-3*m*(m-7/2)-4*m = 0

7*m^2-3*m*(m-7/2)-4*m = 0

4*m^2+21/2*m-4*m = 0

4*m^2+13/2*m = 0

4*m^2+13/2*m = 0

m*(4*m+13/2) = 0

4*m+13/2 = 0 // - 13/2

4*m = -13/2 // : 4

m = -13/2/4

m = -13/8

m*(m+13/8) = 0

m*(m+13/8) = 0

( m+13/8 )

m+13/8 = 0 // - 13/8

m = -13/8

( m )

m = 0

m in { -13/8, 0 }

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