(x-11)(x-11)=225

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Solution for (x-11)(x-11)=225 equation: 


Simplifying
(x + -11)(x + -11) = 225

Reorder the terms:
(-11 + x)(x + -11) = 225

Reorder the terms:
(-11 + x)(-11 + x) = 225

Multiply (-11 + x) * (-11 + x)
(-11(-11 + x) + x(-11 + x)) = 225
((-11 * -11 + x * -11) + x(-11 + x)) = 225
((121 + -11x) + x(-11 + x)) = 225
(121 + -11x + (-11 * x + x * x)) = 225
(121 + -11x + (-11x + x2)) = 225

Combine like terms: -11x + -11x = -22x
(121 + -22x + x2) = 225

Solving
121 + -22x + x2 = 225

Solving for variable 'x'.

Reorder the terms:
121 + -225 + -22x + x2 = 225 + -225

Combine like terms: 121 + -225 = -104
-104 + -22x + x2 = 225 + -225

Combine like terms: 225 + -225 = 0
-104 + -22x + x2 = 0

Factor a trinomial.
(-4 + -1x)(26 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Solution
x = {-4, 26}

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