(X-2)(X-2)-49=0

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Solution for (X-2)(X-2)-49=0 equation: 


Simplifying
(X + -2)(X + -2) + -49 = 0

Reorder the terms:
(-2 + X)(X + -2) + -49 = 0

Reorder the terms:
(-2 + X)(-2 + X) + -49 = 0

Multiply (-2 + X) * (-2 + X)
(-2(-2 + X) + X(-2 + X)) + -49 = 0
((-2 * -2 + X * -2) + X(-2 + X)) + -49 = 0
((4 + -2X) + X(-2 + X)) + -49 = 0
(4 + -2X + (-2 * X + X * X)) + -49 = 0
(4 + -2X + (-2X + X2)) + -49 = 0

Combine like terms: -2X + -2X = -4X
(4 + -4X + X2) + -49 = 0

Reorder the terms:
4 + -49 + -4X + X2 = 0

Combine like terms: 4 + -49 = -45
-45 + -4X + X2 = 0

Solving
-45 + -4X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-5 + -1X)(9 + -1X) = 0


Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve:

Simplifying
-5 + -1X = 0

Solving
-5 + -1X = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1X = 0 + 5
-1X = 0 + 5

Combine like terms: 0 + 5 = 5
-1X = 5

Divide each side by '-1'.
X = -5

Simplifying
X = -5

Subproblem 2
Set the factor '(9 + -1X)' equal to zero and attempt to solve:

Simplifying
9 + -1X = 0

Solving
9 + -1X = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1X = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1X = 0 + -9
-1X = 0 + -9

Combine like terms: 0 + -9 = -9
-1X = -9

Divide each side by '-1'.
X = 9

Simplifying
X = 9
Solution
X = {-5, 9}

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