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Simplifying 3m(2m2 + -4m + 7) = 0 Reorder the terms: 3m(7 + -4m + 2m2) = 0 (7 * 3m + -4m * 3m + 2m2 * 3m) = 0 (21m + -12m2 + 6m3) = 0 Solving 21m + -12m2 + 6m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(7 + -4m + 2m2) = 0 Ignore the factor 3.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 + -4m + 2m2)' equal to zero and attempt to solve: Simplifying 7 + -4m + 2m2 = 0 Solving 7 + -4m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + -2m + m2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -2m + -3.5 + m2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -2m + m2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -2m + m2 = 0 + -3.5 -2m + m2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -2m + m2 = -3.5 The m term is -2m. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2m + 1 + m2 = -3.5 + 1 Reorder the terms: 1 + -2m + m2 = -3.5 + 1 Combine like terms: -3.5 + 1 = -2.5 1 + -2m + m2 = -2.5 Factor a perfect square on the left side: (m + -1)(m + -1) = -2.5 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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