6m^2-4m+10=3m^2+7m-12

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Solution for 6m^2-4m+10=3m^2+7m-12 equation: 


Simplifying
6m2 + -4m + 10 = 3m2 + 7m + -12

Reorder the terms:
10 + -4m + 6m2 = 3m2 + 7m + -12

Reorder the terms:
10 + -4m + 6m2 = -12 + 7m + 3m2

Solving
10 + -4m + 6m2 = -12 + 7m + 3m2

Solving for variable 'm'.

Reorder the terms:
10 + 12 + -4m + -7m + 6m2 + -3m2 = -12 + 7m + 3m2 + 12 + -7m + -3m2

Combine like terms: 10 + 12 = 22
22 + -4m + -7m + 6m2 + -3m2 = -12 + 7m + 3m2 + 12 + -7m + -3m2

Combine like terms: -4m + -7m = -11m
22 + -11m + 6m2 + -3m2 = -12 + 7m + 3m2 + 12 + -7m + -3m2

Combine like terms: 6m2 + -3m2 = 3m2
22 + -11m + 3m2 = -12 + 7m + 3m2 + 12 + -7m + -3m2

Reorder the terms:
22 + -11m + 3m2 = -12 + 12 + 7m + -7m + 3m2 + -3m2

Combine like terms: -12 + 12 = 0
22 + -11m + 3m2 = 0 + 7m + -7m + 3m2 + -3m2
22 + -11m + 3m2 = 7m + -7m + 3m2 + -3m2

Combine like terms: 7m + -7m = 0
22 + -11m + 3m2 = 0 + 3m2 + -3m2
22 + -11m + 3m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
22 + -11m + 3m2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
7.333333333 + -3.666666667m + m2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + -3.666666667m + -7.333333333 + m2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + -3.666666667m + m2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + -3.666666667m + m2 = 0 + -7.333333333
-3.666666667m + m2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
-3.666666667m + m2 = -7.333333333

The m term is -3.666666667m.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667m + 3.361111114 + m2 = -7.333333333 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667m + m2 = -7.333333333 + 3.361111114

Combine like terms: -7.333333333 + 3.361111114 = -3.972222219
3.361111114 + -3.666666667m + m2 = -3.972222219

Factor a perfect square on the left side:
(m + -1.833333334)(m + -1.833333334) = -3.972222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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