9M(25M+22)=M

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Solution for 9M(25M+22)=M equation:


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) = 0

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 = 0

Subproblem 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 = -0.8755555556

Solution

M = {0, -0.8755555556}

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