5m^2-m(m-8)=2m^2+8m+50

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Solution for 5m^2-m(m-8)=2m^2+8m+50 equation: 


Simplifying
5m2 + -1m(m + -8) = 2m2 + 8m + 50

Reorder the terms:
5m2 + -1m(-8 + m) = 2m2 + 8m + 50
5m2 + (-8 * -1m + m * -1m) = 2m2 + 8m + 50
5m2 + (8m + -1m2) = 2m2 + 8m + 50

Reorder the terms:
8m + 5m2 + -1m2 = 2m2 + 8m + 50

Combine like terms: 5m2 + -1m2 = 4m2
8m + 4m2 = 2m2 + 8m + 50

Reorder the terms:
8m + 4m2 = 50 + 8m + 2m2

Add '-8m' to each side of the equation.
8m + -8m + 4m2 = 50 + 8m + -8m + 2m2

Combine like terms: 8m + -8m = 0
0 + 4m2 = 50 + 8m + -8m + 2m2
4m2 = 50 + 8m + -8m + 2m2

Combine like terms: 8m + -8m = 0
4m2 = 50 + 0 + 2m2
4m2 = 50 + 2m2

Solving
4m2 = 50 + 2m2

Solving for variable 'm'.

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

Add '-2m2' to each side of the equation.
4m2 + -2m2 = 50 + 2m2 + -2m2

Combine like terms: 4m2 + -2m2 = 2m2
2m2 = 50 + 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
2m2 = 50 + 0
2m2 = 50

Divide each side by '2'.
m2 = 25

Simplifying
m2 = 25

Take the square root of each side:
m = {-5, 5}

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