(m-14)(m-14)=225

Solution for (m-14)(m-14)=225 equation:

Simplifying
(m + -14)(m + -14) = 225

Reorder the terms:
(-14 + m)(m + -14) = 225

Reorder the terms:
(-14 + m)(-14 + m) = 225

Multiply (-14 + m) * (-14 + m)
(-14(-14 + m) + m(-14 + m)) = 225
((-14 * -14 + m * -14) + m(-14 + m)) = 225
((196 + -14m) + m(-14 + m)) = 225
(196 + -14m + (-14 * m + m * m)) = 225
(196 + -14m + (-14m + m2)) = 225

Combine like terms: -14m + -14m = -28m
(196 + -28m + m2) = 225

Solving
196 + -28m + m2 = 225

Solving for variable 'm'.

Reorder the terms:
196 + -225 + -28m + m2 = 225 + -225

Combine like terms: 196 + -225 = -29
-29 + -28m + m2 = 225 + -225

Combine like terms: 225 + -225 = 0
-29 + -28m + m2 = 0

Factor a trinomial.
(-1 + -1m)(29 + -1m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(29 + -1m)' equal to zero and attempt to solve:

Simplifying
29 + -1m = 0

Solving
29 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-29' to each side of the equation.
29 + -29 + -1m = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -1m = 0 + -29
-1m = 0 + -29

Combine like terms: 0 + -29 = -29
-1m = -29

Divide each side by '-1'.
m = 29

Simplifying
m = 29
Solution
m = {-1, 29}