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Simplifying M4 = 81 Solving M4 = 81 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Simplifying M4 = 81 Reorder the terms: -81 + M4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + M4 = 0 Factor a difference between two squares. (9 + M2)(-9 + M2) = 0 Factor a difference between two squares. (9 + M2)((3 + M)(-3 + M)) = 0Subproblem 1
Set the factor '(9 + M2)' equal to zero and attempt to solve: Simplifying 9 + M2 = 0 Solving 9 + M2 = 0 Move all terms containing M to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + M2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + M2 = 0 + -9 M2 = 0 + -9 Combine like terms: 0 + -9 = -9 M2 = -9 Simplifying M2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + M)' equal to zero and attempt to solve: Simplifying 3 + M = 0 Solving 3 + M = 0 Move all terms containing M to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + M = 0 + -3 Combine like terms: 3 + -3 = 0 0 + M = 0 + -3 M = 0 + -3 Combine like terms: 0 + -3 = -3 M = -3 Simplifying M = -3Subproblem 3
Set the factor '(-3 + M)' equal to zero and attempt to solve: Simplifying -3 + M = 0 Solving -3 + M = 0 Move all terms containing M to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + M = 0 + 3 Combine like terms: -3 + 3 = 0 0 + M = 0 + 3 M = 0 + 3 Combine like terms: 0 + 3 = 3 M = 3 Simplifying M = 3Solution
M = {-3, 3}
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