-2m(m+1)+4=m-10

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Solution for -2m(m+1)+4=m-10 equation: 


Simplifying
-2m(m + 1) + 4 = m + -10

Reorder the terms:
-2m(1 + m) + 4 = m + -10
(1 * -2m + m * -2m) + 4 = m + -10
(-2m + -2m2) + 4 = m + -10

Reorder the terms:
4 + -2m + -2m2 = m + -10

Reorder the terms:
4 + -2m + -2m2 = -10 + m

Solving
4 + -2m + -2m2 = -10 + m

Solving for variable 'm'.

Reorder the terms:
4 + 10 + -2m + -1m + -2m2 = -10 + m + 10 + -1m

Combine like terms: 4 + 10 = 14
14 + -2m + -1m + -2m2 = -10 + m + 10 + -1m

Combine like terms: -2m + -1m = -3m
14 + -3m + -2m2 = -10 + m + 10 + -1m

Reorder the terms:
14 + -3m + -2m2 = -10 + 10 + m + -1m

Combine like terms: -10 + 10 = 0
14 + -3m + -2m2 = 0 + m + -1m
14 + -3m + -2m2 = m + -1m

Combine like terms: m + -1m = 0
14 + -3m + -2m2 = 0

Factor a trinomial.
(2 + -1m)(7 + 2m) = 0


Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2

Subproblem 2
Set the factor '(7 + 2m)' equal to zero and attempt to solve:

Simplifying
7 + 2m = 0

Solving
7 + 2m = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2m = 0 + -7
2m = 0 + -7

Combine like terms: 0 + -7 = -7
2m = -7

Divide each side by '2'.
m = -3.5

Simplifying
m = -3.5
Solution
m = {2, -3.5}

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