3-7m=-8m^2

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Solution for 3-7m=-8m^2 equation:


Simplifying
3 + -7m = -8m2

Solving
3 + -7m = -8m2

Solving for variable 'm'.

Combine like terms: -8m2 + 8m2 = 0
3 + -7m + 8m2 = 0

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

Divide each side by '8'.
0.375 + -0.875m + m2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -0.875m + -0.375 + m2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -0.875m + m2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -0.875m + m2 = 0 + -0.375
-0.875m + m2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-0.875m + m2 = -0.375

The m term is -0.875m.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875m + 0.19140625 + m2 = -0.375 + 0.19140625

Reorder the terms:
0.19140625 + -0.875m + m2 = -0.375 + 0.19140625

Combine like terms: -0.375 + 0.19140625 = -0.18359375
0.19140625 + -0.875m + m2 = -0.18359375

Factor a perfect square on the left side:
(m + -0.4375)(m + -0.4375) = -0.18359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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