7m(1+3m)-8(2m-7)=

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Solution for 7m(1+3m)-8(2m-7)= equation: 


Simplifying
7m(1 + 3m) + -8(2m + -7) = 0
(1 * 7m + 3m * 7m) + -8(2m + -7) = 0
(7m + 21m2) + -8(2m + -7) = 0

Reorder the terms:
7m + 21m2 + -8(-7 + 2m) = 0
7m + 21m2 + (-7 * -8 + 2m * -8) = 0
7m + 21m2 + (56 + -16m) = 0

Reorder the terms:
56 + 7m + -16m + 21m2 = 0

Combine like terms: 7m + -16m = -9m
56 + -9m + 21m2 = 0

Solving
56 + -9m + 21m2 = 0

Solving for variable 'm'.

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

Divide each side by '21'.
2.666666667 + -0.4285714286m + m2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -0.4285714286m + -2.666666667 + m2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -0.4285714286m + m2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -0.4285714286m + m2 = 0 + -2.666666667
-0.4285714286m + m2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-0.4285714286m + m2 = -2.666666667

The m term is -0.4285714286m.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286m + 0.04591836735 + m2 = -2.666666667 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286m + m2 = -2.666666667 + 0.04591836735

Combine like terms: -2.666666667 + 0.04591836735 = -2.62074829965
0.04591836735 + -0.4285714286m + m2 = -2.62074829965

Factor a perfect square on the left side:
(m + -0.2142857143)(m + -0.2142857143) = -2.62074829965

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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