m(1-m)+3(5-m)-2(3-m)=-m(m-3)+3m-5(1-m)

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Solution for m(1-m)+3(5-m)-2(3-m)=-m(m-3)+3m-5(1-m) equation:


Simplifying
m(1 + -1m) + 3(5 + -1m) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m)
(1 * m + -1m * m) + 3(5 + -1m) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m)
(1m + -1m2) + 3(5 + -1m) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m)
1m + -1m2 + (5 * 3 + -1m * 3) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m)
1m + -1m2 + (15 + -3m) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m)
1m + -1m2 + 15 + -3m + (3 * -2 + -1m * -2) = -1m(m + -3) + 3m + -5(1 + -1m)
1m + -1m2 + 15 + -3m + (-6 + 2m) = -1m(m + -3) + 3m + -5(1 + -1m)

Reorder the terms:
15 + -6 + 1m + -3m + 2m + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m)

Combine like terms: 15 + -6 = 9
9 + 1m + -3m + 2m + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m)

Combine like terms: 1m + -3m = -2m
9 + -2m + 2m + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m)

Combine like terms: -2m + 2m = 0
9 + 0 + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m)
9 + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m)

Reorder the terms:
9 + -1m2 = -1m(-3 + m) + 3m + -5(1 + -1m)
9 + -1m2 = (-3 * -1m + m * -1m) + 3m + -5(1 + -1m)
9 + -1m2 = (3m + -1m2) + 3m + -5(1 + -1m)
9 + -1m2 = 3m + -1m2 + 3m + (1 * -5 + -1m * -5)
9 + -1m2 = 3m + -1m2 + 3m + (-5 + 5m)

Reorder the terms:
9 + -1m2 = -5 + 3m + 3m + 5m + -1m2

Combine like terms: 3m + 3m = 6m
9 + -1m2 = -5 + 6m + 5m + -1m2

Combine like terms: 6m + 5m = 11m
9 + -1m2 = -5 + 11m + -1m2

Add 'm2' to each side of the equation.
9 + -1m2 + m2 = -5 + 11m + -1m2 + m2

Combine like terms: -1m2 + m2 = 0
9 + 0 = -5 + 11m + -1m2 + m2
9 = -5 + 11m + -1m2 + m2

Combine like terms: -1m2 + m2 = 0
9 = -5 + 11m + 0
9 = -5 + 11m

Solving
9 = -5 + 11m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-11m' to each side of the equation.
9 + -11m = -5 + 11m + -11m

Combine like terms: 11m + -11m = 0
9 + -11m = -5 + 0
9 + -11m = -5

Add '-9' to each side of the equation.
9 + -9 + -11m = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -11m = -5 + -9
-11m = -5 + -9

Combine like terms: -5 + -9 = -14
-11m = -14

Divide each side by '-11'.
m = 1.272727273

Simplifying
m = 1.272727273

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