m^2-2m=35

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Solution for m^2-2m=35 equation:


Simplifying
m2 + -2m = 35

Reorder the terms:
-2m + m2 = 35

Solving
-2m + m2 = 35

Solving for variable 'm'.

Reorder the terms:
-35 + -2m + m2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -2m + m2 = 0

Factor a trinomial.
(-5 + -1m)(7 + -1m) = 0

Subproblem 1

Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5

Subproblem 2

Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7

Solution

m = {-5, 7}

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