143=m(m-2)

Solution for 143=m(m-2) equation:

Simplifying
143 = m(m + -2)

Reorder the terms:
143 = m(-2 + m)
143 = (-2 * m + m * m)
143 = (-2m + m2)

Solving
143 = -2m + m2

Solving for variable 'm'.

Reorder the terms:
143 + 2m + -1m2 = -2m + 2m + m2 + -1m2

Combine like terms: -2m + 2m = 0
143 + 2m + -1m2 = 0 + m2 + -1m2
143 + 2m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
143 + 2m + -1m2 = 0

Factor a trinomial.
(13 + -1m)(11 + m) = 0

Subproblem 1
Set the factor '(13 + -1m)' equal to zero and attempt to solve:

Simplifying
13 + -1m = 0

Solving
13 + -1m = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1m = 0 + -13
-1m = 0 + -13

Combine like terms: 0 + -13 = -13
-1m = -13

Divide each side by '-1'.
m = 13

Simplifying
m = 13
Subproblem 2
Set the factor '(11 + m)' equal to zero and attempt to solve:

Simplifying
11 + m = 0

Solving
11 + m = 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 + m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + m = 0 + -11
m = 0 + -11

Combine like terms: 0 + -11 = -11
m = -11

Simplifying
m = -11
Solution
m = {13, -11}