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Simplifying
(3x + -11)(3x + 11) = 0
Reorder the terms:
(-11 + 3x)(3x + 11) = 0
Reorder the terms:
(-11 + 3x)(11 + 3x) = 0
Multiply (-11 + 3x) * (11 + 3x)
(-11(11 + 3x) + 3x * (11 + 3x)) = 0
((11 * -11 + 3x * -11) + 3x * (11 + 3x)) = 0
((-121 + -33x) + 3x * (11 + 3x)) = 0
(-121 + -33x + (11 * 3x + 3x * 3x)) = 0
(-121 + -33x + (33x + 9x2)) = 0
Combine like terms: -33x + 33x = 0
(-121 + 0 + 9x2) = 0
(-121 + 9x2) = 0
Solving
-121 + 9x2 = 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 + 9x2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 9x2 = 0 + 121
9x2 = 0 + 121
Combine like terms: 0 + 121 = 121
9x2 = 121
Divide each side by '9'.
x2 = 13.44444444
Simplifying
x2 = 13.44444444
Take the square root of each side:
x = {-3.666666666, 3.666666666}
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