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Simplifying 35M * M + -44M + 12 = 0 Multiply M * M 35M2 + -44M + 12 = 0 Reorder the terms: 12 + -44M + 35M2 = 0 Solving 12 + -44M + 35M2 = 0 Solving for variable 'M'. Factor a trinomial. (2 + -5M)(6 + -7M) = 0Subproblem 1
Set the factor '(2 + -5M)' equal to zero and attempt to solve: Simplifying 2 + -5M = 0 Solving 2 + -5M = 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 + -5M = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5M = 0 + -2 -5M = 0 + -2 Combine like terms: 0 + -2 = -2 -5M = -2 Divide each side by '-5'. M = 0.4 Simplifying M = 0.4Subproblem 2
Set the factor '(6 + -7M)' equal to zero and attempt to solve: Simplifying 6 + -7M = 0 Solving 6 + -7M = 0 Move all terms containing M to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7M = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7M = 0 + -6 -7M = 0 + -6 Combine like terms: 0 + -6 = -6 -7M = -6 Divide each side by '-7'. M = 0.8571428571 Simplifying M = 0.8571428571Solution
M = {0.4, 0.8571428571}
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