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Simplifying 15m9 + 27m7 + 27m5 = 0 Reorder the terms: 27m5 + 27m7 + 15m9 = 0 Solving 27m5 + 27m7 + 15m9 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m5'. 3m5(9 + 9m2 + 5m4) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm5' equal to zero and attempt to solve: Simplifying m5 = 0 Solving m5 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m5 = 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 '(9 + 9m2 + 5m4)' equal to zero and attempt to solve: Simplifying 9 + 9m2 + 5m4 = 0 Solving 9 + 9m2 + 5m4 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + 1.8m2 + m4 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 1.8m2 + -1.8 + m4 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 1.8m2 + m4 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 1.8m2 + m4 = 0 + -1.8 1.8m2 + m4 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 1.8m2 + m4 = -1.8 The m term is 1.8m2. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8m2 + 0.81 + m4 = -1.8 + 0.81 Reorder the terms: 0.81 + 1.8m2 + m4 = -1.8 + 0.81 Combine like terms: -1.8 + 0.81 = -0.99 0.81 + 1.8m2 + m4 = -0.99 Factor a perfect square on the left side: (m2 + 0.9)(m2 + 0.9) = -0.99 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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