7m(m+1)-5(m-5)=

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Solution for 7m(m+1)-5(m-5)= equation:


Simplifying
7m(m + 1) + -5(m + -5) = 0

Reorder the terms:
7m(1 + m) + -5(m + -5) = 0
(1 * 7m + m * 7m) + -5(m + -5) = 0
(7m + 7m2) + -5(m + -5) = 0

Reorder the terms:
7m + 7m2 + -5(-5 + m) = 0
7m + 7m2 + (-5 * -5 + m * -5) = 0
7m + 7m2 + (25 + -5m) = 0

Reorder the terms:
25 + 7m + -5m + 7m2 = 0

Combine like terms: 7m + -5m = 2m
25 + 2m + 7m2 = 0

Solving
25 + 2m + 7m2 = 0

Solving for variable 'm'.

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

Divide each side by '7'.
3.571428571 + 0.2857142857m + m2 = 0

Move the constant term to the right:

Add '-3.571428571' to each side of the equation.
3.571428571 + 0.2857142857m + -3.571428571 + m2 = 0 + -3.571428571

Reorder the terms:
3.571428571 + -3.571428571 + 0.2857142857m + m2 = 0 + -3.571428571

Combine like terms: 3.571428571 + -3.571428571 = 0.000000000
0.000000000 + 0.2857142857m + m2 = 0 + -3.571428571
0.2857142857m + m2 = 0 + -3.571428571

Combine like terms: 0 + -3.571428571 = -3.571428571
0.2857142857m + m2 = -3.571428571

The m term is 0.2857142857m.  Take half its coefficient (0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
0.2857142857m + 0.02040816328 + m2 = -3.571428571 + 0.02040816328

Reorder the terms:
0.02040816328 + 0.2857142857m + m2 = -3.571428571 + 0.02040816328

Combine like terms: -3.571428571 + 0.02040816328 = -3.55102040772
0.02040816328 + 0.2857142857m + m2 = -3.55102040772

Factor a perfect square on the left side:
(m + 0.1428571429)(m + 0.1428571429) = -3.55102040772

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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