(7x-11)(7x-11)=0

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Solution for (7x-11)(7x-11)=0 equation: 


Simplifying
(7x + -11)(7x + -11) = 0

Reorder the terms:
(-11 + 7x)(7x + -11) = 0

Reorder the terms:
(-11 + 7x)(-11 + 7x) = 0

Multiply (-11 + 7x) * (-11 + 7x)
(-11(-11 + 7x) + 7x * (-11 + 7x)) = 0
((-11 * -11 + 7x * -11) + 7x * (-11 + 7x)) = 0
((121 + -77x) + 7x * (-11 + 7x)) = 0
(121 + -77x + (-11 * 7x + 7x * 7x)) = 0
(121 + -77x + (-77x + 49x2)) = 0

Combine like terms: -77x + -77x = -154x
(121 + -154x + 49x2) = 0

Solving
121 + -154x + 49x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -7x)(11 + -7x) = 0


Subproblem 1
Set the factor '(11 + -7x)' equal to zero and attempt to solve:

Simplifying
11 + -7x = 0

Solving
11 + -7x = 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 + -7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 0 + -11
-7x = 0 + -11

Combine like terms: 0 + -11 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

Subproblem 2
Set the factor '(11 + -7x)' equal to zero and attempt to solve:

Simplifying
11 + -7x = 0

Solving
11 + -7x = 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 + -7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 0 + -11
-7x = 0 + -11

Combine like terms: 0 + -11 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571
Solution
x = {1.571428571, 1.571428571}

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