-6m+60-8(m-1)=5m-(7m-8)4m+4

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Solution for -6m+60-8(m-1)=5m-(7m-8)4m+4 equation:


Simplifying
-6m + 60 + -8(m + -1) = 5m + -1(7m + -8) * 4m + 4

Reorder the terms:
-6m + 60 + -8(-1 + m) = 5m + -1(7m + -8) * 4m + 4
-6m + 60 + (-1 * -8 + m * -8) = 5m + -1(7m + -8) * 4m + 4
-6m + 60 + (8 + -8m) = 5m + -1(7m + -8) * 4m + 4

Reorder the terms:
60 + 8 + -6m + -8m = 5m + -1(7m + -8) * 4m + 4

Combine like terms: 60 + 8 = 68
68 + -6m + -8m = 5m + -1(7m + -8) * 4m + 4

Combine like terms: -6m + -8m = -14m
68 + -14m = 5m + -1(7m + -8) * 4m + 4

Reorder the terms:
68 + -14m = 5m + -1(-8 + 7m) * 4m + 4

Reorder the terms for easier multiplication:
68 + -14m = 5m + -1 * 4m(-8 + 7m) + 4

Multiply -1 * 4
68 + -14m = 5m + -4m(-8 + 7m) + 4
68 + -14m = 5m + (-8 * -4m + 7m * -4m) + 4
68 + -14m = 5m + (32m + -28m2) + 4

Reorder the terms:
68 + -14m = 4 + 5m + 32m + -28m2

Combine like terms: 5m + 32m = 37m
68 + -14m = 4 + 37m + -28m2

Solving
68 + -14m = 4 + 37m + -28m2

Solving for variable 'm'.

Reorder the terms:
68 + -4 + -14m + -37m + 28m2 = 4 + 37m + -28m2 + -4 + -37m + 28m2

Combine like terms: 68 + -4 = 64
64 + -14m + -37m + 28m2 = 4 + 37m + -28m2 + -4 + -37m + 28m2

Combine like terms: -14m + -37m = -51m
64 + -51m + 28m2 = 4 + 37m + -28m2 + -4 + -37m + 28m2

Reorder the terms:
64 + -51m + 28m2 = 4 + -4 + 37m + -37m + -28m2 + 28m2

Combine like terms: 4 + -4 = 0
64 + -51m + 28m2 = 0 + 37m + -37m + -28m2 + 28m2
64 + -51m + 28m2 = 37m + -37m + -28m2 + 28m2

Combine like terms: 37m + -37m = 0
64 + -51m + 28m2 = 0 + -28m2 + 28m2
64 + -51m + 28m2 = -28m2 + 28m2

Combine like terms: -28m2 + 28m2 = 0
64 + -51m + 28m2 = 0

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

Divide each side by '28'.
2.285714286 + -1.821428571m + m2 = 0

Move the constant term to the right:

Add '-2.285714286' to each side of the equation.
2.285714286 + -1.821428571m + -2.285714286 + m2 = 0 + -2.285714286

Reorder the terms:
2.285714286 + -2.285714286 + -1.821428571m + m2 = 0 + -2.285714286

Combine like terms: 2.285714286 + -2.285714286 = 0.000000000
0.000000000 + -1.821428571m + m2 = 0 + -2.285714286
-1.821428571m + m2 = 0 + -2.285714286

Combine like terms: 0 + -2.285714286 = -2.285714286
-1.821428571m + m2 = -2.285714286

The m term is -1.821428571m.  Take half its coefficient (-0.9107142855).
Square it (0.8294005098) and add it to both sides.

Add '0.8294005098' to each side of the equation.
-1.821428571m + 0.8294005098 + m2 = -2.285714286 + 0.8294005098

Reorder the terms:
0.8294005098 + -1.821428571m + m2 = -2.285714286 + 0.8294005098

Combine like terms: -2.285714286 + 0.8294005098 = -1.4563137762
0.8294005098 + -1.821428571m + m2 = -1.4563137762

Factor a perfect square on the left side:
(m + -0.9107142855)(m + -0.9107142855) = -1.4563137762

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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