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Simplifying 72m9 + 56m6 + 32m3 = 0 Reorder the terms: 32m3 + 56m6 + 72m9 = 0 Solving 32m3 + 56m6 + 72m9 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '8m3'. 8m3(4 + 7m3 + 9m6) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve: Simplifying m3 = 0 Solving m3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + 7m3 + 9m6)' equal to zero and attempt to solve: Simplifying 4 + 7m3 + 9m6 = 0 Solving 4 + 7m3 + 9m6 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + 0.7777777778m3 + m6 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + 0.7777777778m3 + -0.4444444444 + m6 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + 0.7777777778m3 + m6 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + 0.7777777778m3 + m6 = 0 + -0.4444444444 0.7777777778m3 + m6 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 0.7777777778m3 + m6 = -0.4444444444 The m term is 0.7777777778m3. Take half its coefficient (0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. 0.7777777778m3 + 0.1512345679 + m6 = -0.4444444444 + 0.1512345679 Reorder the terms: 0.1512345679 + 0.7777777778m3 + m6 = -0.4444444444 + 0.1512345679 Combine like terms: -0.4444444444 + 0.1512345679 = -0.2932098765 0.1512345679 + 0.7777777778m3 + m6 = -0.2932098765 Factor a perfect square on the left side: (m3 + 0.3888888889)(m3 + 0.3888888889) = -0.2932098765 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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