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Simplifying -3m(2m2 + -5m + 10) = 0 Reorder the terms: -3m(10 + -5m + 2m2) = 0 (10 * -3m + -5m * -3m + 2m2 * -3m) = 0 (-30m + 15m2 + -6m3) = 0 Solving -30m + 15m2 + -6m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(-10 + 5m + -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 '(-10 + 5m + -2m2)' equal to zero and attempt to solve: Simplifying -10 + 5m + -2m2 = 0 Solving -10 + 5m + -2m2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 5 + -2.5m + m2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2.5m + -5 + m2 = 0 + -5 Reorder the terms: 5 + -5 + -2.5m + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.5m + m2 = 0 + -5 -2.5m + m2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2.5m + m2 = -5 The m term is -2.5m. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5m + 1.5625 + m2 = -5 + 1.5625 Reorder the terms: 1.5625 + -2.5m + m2 = -5 + 1.5625 Combine like terms: -5 + 1.5625 = -3.4375 1.5625 + -2.5m + m2 = -3.4375 Factor a perfect square on the left side: (m + -1.25)(m + -1.25) = -3.4375 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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