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Simplifying 24m9 + 48m6 + 30m3 = 0 Reorder the terms: 30m3 + 48m6 + 24m9 = 0 Solving 30m3 + 48m6 + 24m9 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6m3'. 6m3(5 + 8m3 + 4m6) = 0 Ignore the factor 6.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 '(5 + 8m3 + 4m6)' equal to zero and attempt to solve: Simplifying 5 + 8m3 + 4m6 = 0 Solving 5 + 8m3 + 4m6 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + 2m3 + m6 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 2m3 + -1.25 + m6 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 2m3 + m6 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 2m3 + m6 = 0 + -1.25 2m3 + m6 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 2m3 + m6 = -1.25 The m term is 2m3. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2m3 + 1 + m6 = -1.25 + 1 Reorder the terms: 1 + 2m3 + m6 = -1.25 + 1 Combine like terms: -1.25 + 1 = -0.25 1 + 2m3 + m6 = -0.25 Factor a perfect square on the left side: (m3 + 1)(m3 + 1) = -0.25 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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