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Simplifying -6m(m + 4) + -8m = -6m + 32 Reorder the terms: -6m(4 + m) + -8m = -6m + 32 (4 * -6m + m * -6m) + -8m = -6m + 32 (-24m + -6m2) + -8m = -6m + 32 Reorder the terms: -24m + -8m + -6m2 = -6m + 32 Combine like terms: -24m + -8m = -32m -32m + -6m2 = -6m + 32 Reorder the terms: -32m + -6m2 = 32 + -6m Solving -32m + -6m2 = 32 + -6m Solving for variable 'm'. Reorder the terms: -32 + -32m + 6m + -6m2 = 32 + -6m + -32 + 6m Combine like terms: -32m + 6m = -26m -32 + -26m + -6m2 = 32 + -6m + -32 + 6m Reorder the terms: -32 + -26m + -6m2 = 32 + -32 + -6m + 6m Combine like terms: 32 + -32 = 0 -32 + -26m + -6m2 = 0 + -6m + 6m -32 + -26m + -6m2 = -6m + 6m Combine like terms: -6m + 6m = 0 -32 + -26m + -6m2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(16 + 13m + 3m2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(16 + 13m + 3m2)' equal to zero and attempt to solve: Simplifying 16 + 13m + 3m2 = 0 Solving 16 + 13m + 3m2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5.333333333 + 4.333333333m + m2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + 4.333333333m + -5.333333333 + m2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + 4.333333333m + m2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + 4.333333333m + m2 = 0 + -5.333333333 4.333333333m + m2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 4.333333333m + m2 = -5.333333333 The m term is 4.333333333m. Take half its coefficient (2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. 4.333333333m + 4.694444446 + m2 = -5.333333333 + 4.694444446 Reorder the terms: 4.694444446 + 4.333333333m + m2 = -5.333333333 + 4.694444446 Combine like terms: -5.333333333 + 4.694444446 = -0.638888887 4.694444446 + 4.333333333m + m2 = -0.638888887 Factor a perfect square on the left side: (m + 2.166666667)(m + 2.166666667) = -0.638888887 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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