m^2-18m+73=-4

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Solution for m^2-18m+73=-4 equation:


Simplifying
m2 + -18m + 73 = -4

Reorder the terms:
73 + -18m + m2 = -4

Solving
73 + -18m + m2 = -4

Solving for variable 'm'.

Reorder the terms:
73 + 4 + -18m + m2 = -4 + 4

Combine like terms: 73 + 4 = 77
77 + -18m + m2 = -4 + 4

Combine like terms: -4 + 4 = 0
77 + -18m + m2 = 0

Factor a trinomial.
(7 + -1m)(11 + -1m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(11 + -1m)' equal to zero and attempt to solve: Simplifying 11 + -1m = 0 Solving 11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 0 + -11 -1m = 0 + -11 Combine like terms: 0 + -11 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11

Solution

m = {7, 11}

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