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Simplifying 9M(25M + 22) = M Reorder the terms: 9M(22 + 25M) = M (22 * 9M + 25M * 9M) = M (198M + 225M2) = M Solving 198M + 225M2 = M Solving for variable 'M'. Reorder the terms: 198M + -1M + 225M2 = M + -1M Combine like terms: 198M + -1M = 197M 197M + 225M2 = M + -1M Combine like terms: M + -1M = 0 197M + 225M2 = 0 Factor out the Greatest Common Factor (GCF), 'M'. M(197 + 225M) = 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 '(197 + 225M)' equal to zero and attempt to solve: Simplifying 197 + 225M = 0 Solving 197 + 225M = 0 Move all terms containing M to the left, all other terms to the right. Add '-197' to each side of the equation. 197 + -197 + 225M = 0 + -197 Combine like terms: 197 + -197 = 0 0 + 225M = 0 + -197 225M = 0 + -197 Combine like terms: 0 + -197 = -197 225M = -197 Divide each side by '225'. M = -0.8755555556 Simplifying M = -0.8755555556Solution
M = {0, -0.8755555556}
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