(X-50)(X-50)=14400

Solution for (X-50)(X-50)=14400 equation:

Simplifying
(X + -50)(X + -50) = 14400

Reorder the terms:
(-50 + X)(X + -50) = 14400

Reorder the terms:
(-50 + X)(-50 + X) = 14400

Multiply (-50 + X) * (-50 + X)
(-50(-50 + X) + X(-50 + X)) = 14400
((-50 * -50 + X * -50) + X(-50 + X)) = 14400
((2500 + -50X) + X(-50 + X)) = 14400
(2500 + -50X + (-50 * X + X * X)) = 14400
(2500 + -50X + (-50X + X2)) = 14400

Combine like terms: -50X + -50X = -100X
(2500 + -100X + X2) = 14400

Solving
2500 + -100X + X2 = 14400

Solving for variable 'X'.

Reorder the terms:
2500 + -14400 + -100X + X2 = 14400 + -14400

Combine like terms: 2500 + -14400 = -11900
-11900 + -100X + X2 = 14400 + -14400

Combine like terms: 14400 + -14400 = 0
-11900 + -100X + X2 = 0

Factor a trinomial.
(-70 + -1X)(170 + -1X) = 0

Subproblem 1
Set the factor '(-70 + -1X)' equal to zero and attempt to solve:

Simplifying
-70 + -1X = 0

Solving
-70 + -1X = 0

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

Add '70' to each side of the equation.
-70 + 70 + -1X = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -1X = 0 + 70
-1X = 0 + 70

Combine like terms: 0 + 70 = 70
-1X = 70

Divide each side by '-1'.
X = -70

Simplifying
X = -70
Subproblem 2
Set the factor '(170 + -1X)' equal to zero and attempt to solve:

Simplifying
170 + -1X = 0

Solving
170 + -1X = 0

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

Add '-170' to each side of the equation.
170 + -170 + -1X = 0 + -170

Combine like terms: 170 + -170 = 0
0 + -1X = 0 + -170
-1X = 0 + -170

Combine like terms: 0 + -170 = -170
-1X = -170

Divide each side by '-1'.
X = 170

Simplifying
X = 170
Solution
X = {-70, 170}