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Simplifying (-5m2 + -6m + -6) + -1(5m2 + 6m + 2) = 0 Reorder the terms: (-6 + -6m + -5m2) + -1(5m2 + 6m + 2) = 0 Remove parenthesis around (-6 + -6m + -5m2) -6 + -6m + -5m2 + -1(5m2 + 6m + 2) = 0 Reorder the terms: -6 + -6m + -5m2 + -1(2 + 6m + 5m2) = 0 -6 + -6m + -5m2 + (2 * -1 + 6m * -1 + 5m2 * -1) = 0 -6 + -6m + -5m2 + (-2 + -6m + -5m2) = 0 Reorder the terms: -6 + -2 + -6m + -6m + -5m2 + -5m2 = 0 Combine like terms: -6 + -2 = -8 -8 + -6m + -6m + -5m2 + -5m2 = 0 Combine like terms: -6m + -6m = -12m -8 + -12m + -5m2 + -5m2 = 0 Combine like terms: -5m2 + -5m2 = -10m2 -8 + -12m + -10m2 = 0 Solving -8 + -12m + -10m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-2'. -2(4 + 6m + 5m2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(4 + 6m + 5m2)' equal to zero and attempt to solve: Simplifying 4 + 6m + 5m2 = 0 Solving 4 + 6m + 5m2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 1.2m + m2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 1.2m + -0.8 + m2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 1.2m + m2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.2m + m2 = 0 + -0.8 1.2m + m2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 1.2m + m2 = -0.8 The m term is 1.2m. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2m + 0.36 + m2 = -0.8 + 0.36 Reorder the terms: 0.36 + 1.2m + m2 = -0.8 + 0.36 Combine like terms: -0.8 + 0.36 = -0.44 0.36 + 1.2m + m2 = -0.44 Factor a perfect square on the left side: (m + 0.6)(m + 0.6) = -0.44 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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