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Simplifying (6m3 + -7m2 + 3m) + (7m + 4m3 + 4m2) = 0 Reorder the terms: (3m + -7m2 + 6m3) + (7m + 4m3 + 4m2) = 0 Remove parenthesis around (3m + -7m2 + 6m3) 3m + -7m2 + 6m3 + (7m + 4m3 + 4m2) = 0 Reorder the terms: 3m + -7m2 + 6m3 + (7m + 4m2 + 4m3) = 0 Remove parenthesis around (7m + 4m2 + 4m3) 3m + -7m2 + 6m3 + 7m + 4m2 + 4m3 = 0 Reorder the terms: 3m + 7m + -7m2 + 4m2 + 6m3 + 4m3 = 0 Combine like terms: 3m + 7m = 10m 10m + -7m2 + 4m2 + 6m3 + 4m3 = 0 Combine like terms: -7m2 + 4m2 = -3m2 10m + -3m2 + 6m3 + 4m3 = 0 Combine like terms: 6m3 + 4m3 = 10m3 10m + -3m2 + 10m3 = 0 Solving 10m + -3m2 + 10m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(10 + -3m + 10m2) = 0Subproblem 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 + -3m + 10m2)' equal to zero and attempt to solve: Simplifying 10 + -3m + 10m2 = 0 Solving 10 + -3m + 10m2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1 + -0.3m + m2 = 0.0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.3m + -1 + m2 = 0.0 + -1 Reorder the terms: 1 + -1 + -0.3m + m2 = 0.0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.3m + m2 = 0.0 + -1 -0.3m + m2 = 0.0 + -1 Combine like terms: 0.0 + -1 = -1 -0.3m + m2 = -1 The m term is -0.3m. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3m + 0.0225 + m2 = -1 + 0.0225 Reorder the terms: 0.0225 + -0.3m + m2 = -1 + 0.0225 Combine like terms: -1 + 0.0225 = -0.9775 0.0225 + -0.3m + m2 = -0.9775 Factor a perfect square on the left side: (m + -0.15)(m + -0.15) = -0.9775 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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