(14x-11)(14x-11)=0

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Solution for (14x-11)(14x-11)=0 equation: 


Simplifying
(14x + -11)(14x + -11) = 0

Reorder the terms:
(-11 + 14x)(14x + -11) = 0

Reorder the terms:
(-11 + 14x)(-11 + 14x) = 0

Multiply (-11 + 14x) * (-11 + 14x)
(-11(-11 + 14x) + 14x * (-11 + 14x)) = 0
((-11 * -11 + 14x * -11) + 14x * (-11 + 14x)) = 0
((121 + -154x) + 14x * (-11 + 14x)) = 0
(121 + -154x + (-11 * 14x + 14x * 14x)) = 0
(121 + -154x + (-154x + 196x2)) = 0

Combine like terms: -154x + -154x = -308x
(121 + -308x + 196x2) = 0

Solving
121 + -308x + 196x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -14x)(11 + -14x) = 0


Subproblem 1
Set the factor '(11 + -14x)' equal to zero and attempt to solve:

Simplifying
11 + -14x = 0

Solving
11 + -14x = 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 + -14x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -14x = 0 + -11
-14x = 0 + -11

Combine like terms: 0 + -11 = -11
-14x = -11

Divide each side by '-14'.
x = 0.7857142857

Simplifying
x = 0.7857142857

Subproblem 2
Set the factor '(11 + -14x)' equal to zero and attempt to solve:

Simplifying
11 + -14x = 0

Solving
11 + -14x = 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 + -14x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -14x = 0 + -11
-14x = 0 + -11

Combine like terms: 0 + -11 = -11
-14x = -11

Divide each side by '-14'.
x = 0.7857142857

Simplifying
x = 0.7857142857
Solution
x = {0.7857142857, 0.7857142857}

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