2(18m^2+m+5)=0

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Solution for 2(18m^2+m+5)=0 equation:


Simplifying
2(18m2 + m + 5) = 0

Reorder the terms:
2(5 + m + 18m2) = 0
(5 * 2 + m * 2 + 18m2 * 2) = 0
(10 + 2m + 36m2) = 0

Solving
10 + 2m + 36m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + m + 18m2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + m + 18m2)' equal to zero and attempt to solve: Simplifying 5 + m + 18m2 = 0 Solving 5 + m + 18m2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.2777777778 + 0.05555555556m + m2 = 0 Move the constant term to the right: Add '-0.2777777778' to each side of the equation. 0.2777777778 + 0.05555555556m + -0.2777777778 + m2 = 0 + -0.2777777778 Reorder the terms: 0.2777777778 + -0.2777777778 + 0.05555555556m + m2 = 0 + -0.2777777778 Combine like terms: 0.2777777778 + -0.2777777778 = 0.0000000000 0.0000000000 + 0.05555555556m + m2 = 0 + -0.2777777778 0.05555555556m + m2 = 0 + -0.2777777778 Combine like terms: 0 + -0.2777777778 = -0.2777777778 0.05555555556m + m2 = -0.2777777778 The m term is m. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.05555555556m + 0.25 + m2 = -0.2777777778 + 0.25 Reorder the terms: 0.25 + 0.05555555556m + m2 = -0.2777777778 + 0.25 Combine like terms: -0.2777777778 + 0.25 = -0.0277777778 0.25 + 0.05555555556m + m2 = -0.0277777778 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -0.0277777778 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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