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Simplifying
(6x + -11)(6x + 11) = 0
Reorder the terms:
(-11 + 6x)(6x + 11) = 0
Reorder the terms:
(-11 + 6x)(11 + 6x) = 0
Multiply (-11 + 6x) * (11 + 6x)
(-11(11 + 6x) + 6x * (11 + 6x)) = 0
((11 * -11 + 6x * -11) + 6x * (11 + 6x)) = 0
((-121 + -66x) + 6x * (11 + 6x)) = 0
(-121 + -66x + (11 * 6x + 6x * 6x)) = 0
(-121 + -66x + (66x + 36x2)) = 0
Combine like terms: -66x + 66x = 0
(-121 + 0 + 36x2) = 0
(-121 + 36x2) = 0
Solving
-121 + 36x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '121' to each side of the equation.
-121 + 121 + 36x2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 36x2 = 0 + 121
36x2 = 0 + 121
Combine like terms: 0 + 121 = 121
36x2 = 121
Divide each side by '36'.
x2 = 3.361111111
Simplifying
x2 = 3.361111111
Take the square root of each side:
x = {-1.833333333, 1.833333333}
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