(12X+11)(12X-11)=144X-121

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Solution for (12X+11)(12X-11)=144X-121 equation: 


Simplifying
(12X + 11)(12X + -11) = 144X + -121

Reorder the terms:
(11 + 12X)(12X + -11) = 144X + -121

Reorder the terms:
(11 + 12X)(-11 + 12X) = 144X + -121

Multiply (11 + 12X) * (-11 + 12X)
(11(-11 + 12X) + 12X * (-11 + 12X)) = 144X + -121
((-11 * 11 + 12X * 11) + 12X * (-11 + 12X)) = 144X + -121
((-121 + 132X) + 12X * (-11 + 12X)) = 144X + -121
(-121 + 132X + (-11 * 12X + 12X * 12X)) = 144X + -121
(-121 + 132X + (-132X + 144X2)) = 144X + -121

Combine like terms: 132X + -132X = 0
(-121 + 0 + 144X2) = 144X + -121
(-121 + 144X2) = 144X + -121

Reorder the terms:
-121 + 144X2 = -121 + 144X

Add '121' to each side of the equation.
-121 + 121 + 144X2 = -121 + 121 + 144X

Combine like terms: -121 + 121 = 0
0 + 144X2 = -121 + 121 + 144X
144X2 = -121 + 121 + 144X

Combine like terms: -121 + 121 = 0
144X2 = 0 + 144X
144X2 = 144X

Solving
144X2 = 144X

Solving for variable 'X'.

Reorder the terms:
-144X + 144X2 = 144X + -144X

Combine like terms: 144X + -144X = 0
-144X + 144X2 = 0

Factor out the Greatest Common Factor (GCF), '144X'.
144X(-1 + X) = 0

Ignore the factor 144.

Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

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

Simplifying
-1 + X = 0

Solving
-1 + X = 0

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

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

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

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

Simplifying
X = 1
Solution
X = {0, 1}

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