(-4m^2+3m-1)-(m+2)=0

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Solution for (-4m^2+3m-1)-(m+2)=0 equation: 


Simplifying
(-4m2 + 3m + -1) + -1(m + 2) = 0

Reorder the terms:
(-1 + 3m + -4m2) + -1(m + 2) = 0

Remove parenthesis around (-1 + 3m + -4m2)
-1 + 3m + -4m2 + -1(m + 2) = 0

Reorder the terms:
-1 + 3m + -4m2 + -1(2 + m) = 0
-1 + 3m + -4m2 + (2 * -1 + m * -1) = 0
-1 + 3m + -4m2 + (-2 + -1m) = 0

Reorder the terms:
-1 + -2 + 3m + -1m + -4m2 = 0

Combine like terms: -1 + -2 = -3
-3 + 3m + -1m + -4m2 = 0

Combine like terms: 3m + -1m = 2m
-3 + 2m + -4m2 = 0

Solving
-3 + 2m + -4m2 = 0

Solving for variable 'm'.

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

Divide each side by '-4'.
0.75 + -0.5m + m2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.5m + -0.75 + m2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.5m + m2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.5m + m2 = 0 + -0.75
-0.5m + m2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.5m + m2 = -0.75

The m term is -0.5m.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5m + 0.0625 + m2 = -0.75 + 0.0625

Reorder the terms:
0.0625 + -0.5m + m2 = -0.75 + 0.0625

Combine like terms: -0.75 + 0.0625 = -0.6875
0.0625 + -0.5m + m2 = -0.6875

Factor a perfect square on the left side:
(m + -0.25)(m + -0.25) = -0.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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