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Simplifying 6m3 + -18m2 + 42m = 0 Reorder the terms: 42m + -18m2 + 6m3 = 0 Solving 42m + -18m2 + 6m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6m'. 6m(7 + -3m + m2) = 0 Ignore the factor 6.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 '(7 + -3m + m2)' equal to zero and attempt to solve: Simplifying 7 + -3m + m2 = 0 Solving 7 + -3m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -3m + -7 + m2 = 0 + -7 Reorder the terms: 7 + -7 + -3m + m2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m + m2 = 0 + -7 -3m + m2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3m + m2 = -7 The m term is -3m. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3m + 2.25 + m2 = -7 + 2.25 Reorder the terms: 2.25 + -3m + m2 = -7 + 2.25 Combine like terms: -7 + 2.25 = -4.75 2.25 + -3m + m2 = -4.75 Factor a perfect square on the left side: (m + -1.5)(m + -1.5) = -4.75 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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