m^2=-7m+8

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Solution for m^2=-7m+8 equation:


Simplifying
m2 = -7m + 8

Reorder the terms:
m2 = 8 + -7m

Solving
m2 = 8 + -7m

Solving for variable 'm'.

Reorder the terms:
-8 + 7m + m2 = 8 + -7m + -8 + 7m

Reorder the terms:
-8 + 7m + m2 = 8 + -8 + -7m + 7m

Combine like terms: 8 + -8 = 0
-8 + 7m + m2 = 0 + -7m + 7m
-8 + 7m + m2 = -7m + 7m

Combine like terms: -7m + 7m = 0
-8 + 7m + m2 = 0

Factor a trinomial.
(-8 + -1m)(1 + -1m) = 0

Subproblem 1

Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8

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 = {-8, 1}

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