(4m^2-3m+2)+(5m^2+13m-4)-(16m^2+4m-3)=0

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Solution for (4m^2-3m+2)+(5m^2+13m-4)-(16m^2+4m-3)=0 equation: 


Simplifying
(4m2 + -3m + 2) + (5m2 + 13m + -4) + -1(16m2 + 4m + -3) = 0

Reorder the terms:
(2 + -3m + 4m2) + (5m2 + 13m + -4) + -1(16m2 + 4m + -3) = 0

Remove parenthesis around (2 + -3m + 4m2)
2 + -3m + 4m2 + (5m2 + 13m + -4) + -1(16m2 + 4m + -3) = 0

Reorder the terms:
2 + -3m + 4m2 + (-4 + 13m + 5m2) + -1(16m2 + 4m + -3) = 0

Remove parenthesis around (-4 + 13m + 5m2)
2 + -3m + 4m2 + -4 + 13m + 5m2 + -1(16m2 + 4m + -3) = 0

Reorder the terms:
2 + -3m + 4m2 + -4 + 13m + 5m2 + -1(-3 + 4m + 16m2) = 0
2 + -3m + 4m2 + -4 + 13m + 5m2 + (-3 * -1 + 4m * -1 + 16m2 * -1) = 0
2 + -3m + 4m2 + -4 + 13m + 5m2 + (3 + -4m + -16m2) = 0

Reorder the terms:
2 + -4 + 3 + -3m + 13m + -4m + 4m2 + 5m2 + -16m2 = 0

Combine like terms: 2 + -4 = -2
-2 + 3 + -3m + 13m + -4m + 4m2 + 5m2 + -16m2 = 0

Combine like terms: -2 + 3 = 1
1 + -3m + 13m + -4m + 4m2 + 5m2 + -16m2 = 0

Combine like terms: -3m + 13m = 10m
1 + 10m + -4m + 4m2 + 5m2 + -16m2 = 0

Combine like terms: 10m + -4m = 6m
1 + 6m + 4m2 + 5m2 + -16m2 = 0

Combine like terms: 4m2 + 5m2 = 9m2
1 + 6m + 9m2 + -16m2 = 0

Combine like terms: 9m2 + -16m2 = -7m2
1 + 6m + -7m2 = 0

Solving
1 + 6m + -7m2 = 0

Solving for variable 'm'.

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


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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

Simplifying
m = 1

Subproblem 2
Set the factor '(1 + 7m)' equal to zero and attempt to solve:

Simplifying
1 + 7m = 0

Solving
1 + 7m = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7m = 0 + -1
7m = 0 + -1

Combine like terms: 0 + -1 = -1
7m = -1

Divide each side by '7'.
m = -0.1428571429

Simplifying
m = -0.1428571429
Solution
m = {1, -0.1428571429}

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