(4x-11)(4x-11)=0

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Solution for (4x-11)(4x-11)=0 equation: 


Simplifying
(4x + -11)(4x + -11) = 0

Reorder the terms:
(-11 + 4x)(4x + -11) = 0

Reorder the terms:
(-11 + 4x)(-11 + 4x) = 0

Multiply (-11 + 4x) * (-11 + 4x)
(-11(-11 + 4x) + 4x * (-11 + 4x)) = 0
((-11 * -11 + 4x * -11) + 4x * (-11 + 4x)) = 0
((121 + -44x) + 4x * (-11 + 4x)) = 0
(121 + -44x + (-11 * 4x + 4x * 4x)) = 0
(121 + -44x + (-44x + 16x2)) = 0

Combine like terms: -44x + -44x = -88x
(121 + -88x + 16x2) = 0

Solving
121 + -88x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -4x)(11 + -4x) = 0


Subproblem 1
Set the factor '(11 + -4x)' equal to zero and attempt to solve:

Simplifying
11 + -4x = 0

Solving
11 + -4x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 0 + -11
-4x = 0 + -11

Combine like terms: 0 + -11 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

Subproblem 2
Set the factor '(11 + -4x)' equal to zero and attempt to solve:

Simplifying
11 + -4x = 0

Solving
11 + -4x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 0 + -11
-4x = 0 + -11

Combine like terms: 0 + -11 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75
Solution
x = {2.75, 2.75}

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