m(m-8)+3m=-2+m(m-9)

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Solution for m(m-8)+3m=-2+m(m-9) equation:


Simplifying
m(m + -8) + 3m = -2 + m(m + -9)

Reorder the terms:
m(-8 + m) + 3m = -2 + m(m + -9)
(-8 * m + m * m) + 3m = -2 + m(m + -9)
(-8m + m2) + 3m = -2 + m(m + -9)

Reorder the terms:
-8m + 3m + m2 = -2 + m(m + -9)

Combine like terms: -8m + 3m = -5m
-5m + m2 = -2 + m(m + -9)

Reorder the terms:
-5m + m2 = -2 + m(-9 + m)
-5m + m2 = -2 + (-9 * m + m * m)
-5m + m2 = -2 + (-9m + m2)

Add '-1m2' to each side of the equation.
-5m + m2 + -1m2 = -2 + -9m + m2 + -1m2

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

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

Solving
-5m = -2 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
-5m + 9m = -2 + -9m + 9m

Combine like terms: -5m + 9m = 4m
4m = -2 + -9m + 9m

Combine like terms: -9m + 9m = 0
4m = -2 + 0
4m = -2

Divide each side by '4'.
m = -0.5

Simplifying
m = -0.5

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