2(m-3)(m-3)+2m^2+12m=-3m^2+5

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Solution for 2(m-3)(m-3)+2m^2+12m=-3m^2+5 equation:


Simplifying
2(m + -3)(m + -3) + 2m2 + 12m = -3m2 + 5

Reorder the terms:
2(-3 + m)(m + -3) + 2m2 + 12m = -3m2 + 5

Reorder the terms:
2(-3 + m)(-3 + m) + 2m2 + 12m = -3m2 + 5

Multiply (-3 + m) * (-3 + m)
2(-3(-3 + m) + m(-3 + m)) + 2m2 + 12m = -3m2 + 5
2((-3 * -3 + m * -3) + m(-3 + m)) + 2m2 + 12m = -3m2 + 5
2((9 + -3m) + m(-3 + m)) + 2m2 + 12m = -3m2 + 5
2(9 + -3m + (-3 * m + m * m)) + 2m2 + 12m = -3m2 + 5
2(9 + -3m + (-3m + m2)) + 2m2 + 12m = -3m2 + 5

Combine like terms: -3m + -3m = -6m
2(9 + -6m + m2) + 2m2 + 12m = -3m2 + 5
(9 * 2 + -6m * 2 + m2 * 2) + 2m2 + 12m = -3m2 + 5
(18 + -12m + 2m2) + 2m2 + 12m = -3m2 + 5

Reorder the terms:
18 + -12m + 12m + 2m2 + 2m2 = -3m2 + 5

Combine like terms: -12m + 12m = 0
18 + 0 + 2m2 + 2m2 = -3m2 + 5
18 + 2m2 + 2m2 = -3m2 + 5

Combine like terms: 2m2 + 2m2 = 4m2
18 + 4m2 = -3m2 + 5

Reorder the terms:
18 + 4m2 = 5 + -3m2

Solving
18 + 4m2 = 5 + -3m2

Solving for variable 'm'.

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

Add '3m2' to each side of the equation.
18 + 4m2 + 3m2 = 5 + -3m2 + 3m2

Combine like terms: 4m2 + 3m2 = 7m2
18 + 7m2 = 5 + -3m2 + 3m2

Combine like terms: -3m2 + 3m2 = 0
18 + 7m2 = 5 + 0
18 + 7m2 = 5

Add '-18' to each side of the equation.
18 + -18 + 7m2 = 5 + -18

Combine like terms: 18 + -18 = 0
0 + 7m2 = 5 + -18
7m2 = 5 + -18

Combine like terms: 5 + -18 = -13
7m2 = -13

Divide each side by '7'.
m2 = -1.857142857

Simplifying
m2 = -1.857142857

Reorder the terms:
1.857142857 + m2 = -1.857142857 + 1.857142857

Combine like terms: -1.857142857 + 1.857142857 = 0.000000000
1.857142857 + m2 = 0.000000000

The solution to this equation could not be determined.

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