m^2-2m+1=9

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Solution for m^2-2m+1=9 equation:


Simplifying
m2 + -2m + 1 = 9

Reorder the terms:
1 + -2m + m2 = 9

Solving
1 + -2m + m2 = 9

Solving for variable 'm'.

Reorder the terms:
1 + -9 + -2m + m2 = 9 + -9

Combine like terms: 1 + -9 = -8
-8 + -2m + m2 = 9 + -9

Combine like terms: 9 + -9 = 0
-8 + -2m + m2 = 0

Factor a trinomial.
(-2 + -1m)(4 + -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 '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Solution

m = {-2, 4}

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