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Simplifying -12m2 + -4m + -5 + -19m2 + -13m = 0 Reorder the terms: -5 + -4m + -13m + -12m2 + -19m2 = 0 Combine like terms: -4m + -13m = -17m -5 + -17m + -12m2 + -19m2 = 0 Combine like terms: -12m2 + -19m2 = -31m2 -5 + -17m + -31m2 = 0 Solving -5 + -17m + -31m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 17m + 31m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 17m + 31m2)' equal to zero and attempt to solve: Simplifying 5 + 17m + 31m2 = 0 Solving 5 + 17m + 31m2 = 0 Begin completing the square. Divide all terms by 31 the coefficient of the squared term: Divide each side by '31'. 0.1612903226 + 0.5483870968m + m2 = 0 Move the constant term to the right: Add '-0.1612903226' to each side of the equation. 0.1612903226 + 0.5483870968m + -0.1612903226 + m2 = 0 + -0.1612903226 Reorder the terms: 0.1612903226 + -0.1612903226 + 0.5483870968m + m2 = 0 + -0.1612903226 Combine like terms: 0.1612903226 + -0.1612903226 = 0.0000000000 0.0000000000 + 0.5483870968m + m2 = 0 + -0.1612903226 0.5483870968m + m2 = 0 + -0.1612903226 Combine like terms: 0 + -0.1612903226 = -0.1612903226 0.5483870968m + m2 = -0.1612903226 The m term is 0.5483870968m. Take half its coefficient (0.2741935484). Square it (0.07518210198) and add it to both sides. Add '0.07518210198' to each side of the equation. 0.5483870968m + 0.07518210198 + m2 = -0.1612903226 + 0.07518210198 Reorder the terms: 0.07518210198 + 0.5483870968m + m2 = -0.1612903226 + 0.07518210198 Combine like terms: -0.1612903226 + 0.07518210198 = -0.08610822062 0.07518210198 + 0.5483870968m + m2 = -0.08610822062 Factor a perfect square on the left side: (m + 0.2741935484)(m + 0.2741935484) = -0.08610822062 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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