m(3-4m)=7+4(8-m)

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Solution for m(3-4m)=7+4(8-m) equation: 


Simplifying
m(3 + -4m) = 7 + 4(8 + -1m)
(3 * m + -4m * m) = 7 + 4(8 + -1m)
(3m + -4m2) = 7 + 4(8 + -1m)
3m + -4m2 = 7 + (8 * 4 + -1m * 4)
3m + -4m2 = 7 + (32 + -4m)

Combine like terms: 7 + 32 = 39
3m + -4m2 = 39 + -4m

Solving
3m + -4m2 = 39 + -4m

Solving for variable 'm'.

Reorder the terms:
-39 + 3m + 4m + -4m2 = 39 + -4m + -39 + 4m

Combine like terms: 3m + 4m = 7m
-39 + 7m + -4m2 = 39 + -4m + -39 + 4m

Reorder the terms:
-39 + 7m + -4m2 = 39 + -39 + -4m + 4m

Combine like terms: 39 + -39 = 0
-39 + 7m + -4m2 = 0 + -4m + 4m
-39 + 7m + -4m2 = -4m + 4m

Combine like terms: -4m + 4m = 0
-39 + 7m + -4m2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
9.75 + -1.75m + m2 = 0

Move the constant term to the right:

Add '-9.75' to each side of the equation.
9.75 + -1.75m + -9.75 + m2 = 0 + -9.75

Reorder the terms:
9.75 + -9.75 + -1.75m + m2 = 0 + -9.75

Combine like terms: 9.75 + -9.75 = 0.00
0.00 + -1.75m + m2 = 0 + -9.75
-1.75m + m2 = 0 + -9.75

Combine like terms: 0 + -9.75 = -9.75
-1.75m + m2 = -9.75

The m term is -1.75m.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75m + 0.765625 + m2 = -9.75 + 0.765625

Reorder the terms:
0.765625 + -1.75m + m2 = -9.75 + 0.765625

Combine like terms: -9.75 + 0.765625 = -8.984375
0.765625 + -1.75m + m2 = -8.984375

Factor a perfect square on the left side:
(m + -0.875)(m + -0.875) = -8.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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