-3m^2-2m+10=-m^2-2m-30

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Solution for -3m^2-2m+10=-m^2-2m-30 equation: 


Simplifying
-3m2 + -2m + 10 = -1m2 + -2m + -30

Reorder the terms:
10 + -2m + -3m2 = -1m2 + -2m + -30

Reorder the terms:
10 + -2m + -3m2 = -30 + -2m + -1m2

Add '2m' to each side of the equation.
10 + -2m + 2m + -3m2 = -30 + -2m + 2m + -1m2

Combine like terms: -2m + 2m = 0
10 + 0 + -3m2 = -30 + -2m + 2m + -1m2
10 + -3m2 = -30 + -2m + 2m + -1m2

Combine like terms: -2m + 2m = 0
10 + -3m2 = -30 + 0 + -1m2
10 + -3m2 = -30 + -1m2

Solving
10 + -3m2 = -30 + -1m2

Solving for variable 'm'.

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

Add 'm2' to each side of the equation.
10 + -3m2 + m2 = -30 + -1m2 + m2

Combine like terms: -3m2 + m2 = -2m2
10 + -2m2 = -30 + -1m2 + m2

Combine like terms: -1m2 + m2 = 0
10 + -2m2 = -30 + 0
10 + -2m2 = -30

Add '-10' to each side of the equation.
10 + -10 + -2m2 = -30 + -10

Combine like terms: 10 + -10 = 0
0 + -2m2 = -30 + -10
-2m2 = -30 + -10

Combine like terms: -30 + -10 = -40
-2m2 = -40

Divide each side by '-2'.
m2 = 20

Simplifying
m2 = 20

Take the square root of each side:
m = {-4.472135955, 4.472135955}

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