M^2=2-M

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Solution for M^2=2-M equation:


Simplifying
M2 = 2 + -1M

Solving
M2 = 2 + -1M

Solving for variable 'M'.

Reorder the terms:
-2 + M + M2 = 2 + -1M + -2 + M

Reorder the terms:
-2 + M + M2 = 2 + -2 + -1M + M

Combine like terms: 2 + -2 = 0
-2 + M + M2 = 0 + -1M + M
-2 + M + M2 = -1M + M

Combine like terms: -1M + M = 0
-2 + M + M2 = 0

Factor a trinomial.
(-2 + -1M)(1 + -1M) = 0

Subproblem 1

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 = -2

Subproblem 2

Set the factor '(1 + -1M)' equal to zero and attempt to solve: Simplifying 1 + -1M = 0 Solving 1 + -1M = 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 + -1M = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1M = 0 + -1 -1M = 0 + -1 Combine like terms: 0 + -1 = -1 -1M = -1 Divide each side by '-1'. M = 1 Simplifying M = 1

Solution

M = {-2, 1}

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