13m^2+12m+18=0

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Solution for 13m^2+12m+18=0 equation:


Simplifying
13m2 + 12m + 18 = 0

Reorder the terms:
18 + 12m + 13m2 = 0

Solving
18 + 12m + 13m2 = 0

Solving for variable 'm'.

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

Divide each side by '13'.
1.384615385 + 0.9230769231m + m2 = 0

Move the constant term to the right:

Add '-1.384615385' to each side of the equation.
1.384615385 + 0.9230769231m + -1.384615385 + m2 = 0 + -1.384615385

Reorder the terms:
1.384615385 + -1.384615385 + 0.9230769231m + m2 = 0 + -1.384615385

Combine like terms: 1.384615385 + -1.384615385 = 0.000000000
0.000000000 + 0.9230769231m + m2 = 0 + -1.384615385
0.9230769231m + m2 = 0 + -1.384615385

Combine like terms: 0 + -1.384615385 = -1.384615385
0.9230769231m + m2 = -1.384615385

The m term is 0.9230769231m.  Take half its coefficient (0.4615384616).
Square it (0.2130177515) and add it to both sides.

Add '0.2130177515' to each side of the equation.
0.9230769231m + 0.2130177515 + m2 = -1.384615385 + 0.2130177515

Reorder the terms:
0.2130177515 + 0.9230769231m + m2 = -1.384615385 + 0.2130177515

Combine like terms: -1.384615385 + 0.2130177515 = -1.1715976335
0.2130177515 + 0.9230769231m + m2 = -1.1715976335

Factor a perfect square on the left side:
(m + 0.4615384616)(m + 0.4615384616) = -1.1715976335

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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