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Simplifying 5m3 + 2m2 + -7m3 + -8m = 0 Reorder the terms: -8m + 2m2 + 5m3 + -7m3 = 0 Combine like terms: 5m3 + -7m3 = -2m3 -8m + 2m2 + -2m3 = 0 Solving -8m + 2m2 + -2m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-4 + m + -1m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-4 + m + -1m2)' equal to zero and attempt to solve: Simplifying -4 + m + -1m2 = 0 Solving -4 + m + -1m2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -1m + m2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1m + -4 + m2 = 0 + -4 Reorder the terms: 4 + -4 + -1m + m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m + m2 = 0 + -4 -1m + m2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1m + m2 = -4 The m term is m. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1m + 0.25 + m2 = -4 + 0.25 Reorder the terms: 0.25 + -1m + m2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + -1m + m2 = -3.75 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -3.75 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.Solution
m = {0}
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