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Simplifying
(11x + -4)(11x + 4) = 0
Reorder the terms:
(-4 + 11x)(11x + 4) = 0
Reorder the terms:
(-4 + 11x)(4 + 11x) = 0
Multiply (-4 + 11x) * (4 + 11x)
(-4(4 + 11x) + 11x * (4 + 11x)) = 0
((4 * -4 + 11x * -4) + 11x * (4 + 11x)) = 0
((-16 + -44x) + 11x * (4 + 11x)) = 0
(-16 + -44x + (4 * 11x + 11x * 11x)) = 0
(-16 + -44x + (44x + 121x2)) = 0
Combine like terms: -44x + 44x = 0
(-16 + 0 + 121x2) = 0
(-16 + 121x2) = 0
Solving
-16 + 121x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 121x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 121x2 = 0 + 16
121x2 = 0 + 16
Combine like terms: 0 + 16 = 16
121x2 = 16
Divide each side by '121'.
x2 = 0.132231405
Simplifying
x2 = 0.132231405
Take the square root of each side:
x = {-0.363636364, 0.363636364}
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