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Simplifying 7M2 = 13M + 2 Reorder the terms: 7M2 = 2 + 13M Solving 7M2 = 2 + 13M Solving for variable 'M'. Reorder the terms: -2 + -13M + 7M2 = 2 + 13M + -2 + -13M Reorder the terms: -2 + -13M + 7M2 = 2 + -2 + 13M + -13M Combine like terms: 2 + -2 = 0 -2 + -13M + 7M2 = 0 + 13M + -13M -2 + -13M + 7M2 = 13M + -13M Combine like terms: 13M + -13M = 0 -2 + -13M + 7M2 = 0 Factor a trinomial. (-1 + -7M)(2 + -1M) = 0Subproblem 1
Set the factor '(-1 + -7M)' equal to zero and attempt to solve: Simplifying -1 + -7M = 0 Solving -1 + -7M = 0 Move all terms containing M to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7M = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7M = 0 + 1 -7M = 0 + 1 Combine like terms: 0 + 1 = 1 -7M = 1 Divide each side by '-7'. M = -0.1428571429 Simplifying M = -0.1428571429Subproblem 2
Set the factor '(2 + -1M)' equal to zero and attempt to solve: Simplifying 2 + -1M = 0 Solving 2 + -1M = 0 Move all terms containing M to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1M = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1M = 0 + -2 -1M = 0 + -2 Combine like terms: 0 + -2 = -2 -1M = -2 Divide each side by '-1'. M = 2 Simplifying M = 2Solution
M = {-0.1428571429, 2}
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