4m^2+8m+7=0

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Solution for 4m^2+8m+7=0 equation:


Simplifying
4m2 + 8m + 7 = 0

Reorder the terms:
7 + 8m + 4m2 = 0

Solving
7 + 8m + 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'.
1.75 + 2m + m2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + 2m + -1.75 + m2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + 2m + m2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 2m + m2 = 0 + -1.75
2m + m2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
2m + m2 = -1.75

The m term is 2m.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2m + 1 + m2 = -1.75 + 1

Reorder the terms:
1 + 2m + m2 = -1.75 + 1

Combine like terms: -1.75 + 1 = -0.75
1 + 2m + m2 = -0.75

Factor a perfect square on the left side:
(m + 1)(m + 1) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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