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Simplifying
(4x + 11)(4x + -11) = 0
Reorder the terms:
(11 + 4x)(4x + -11) = 0
Reorder the terms:
(11 + 4x)(-11 + 4x) = 0
Multiply (11 + 4x) * (-11 + 4x)
(11(-11 + 4x) + 4x * (-11 + 4x)) = 0
((-11 * 11 + 4x * 11) + 4x * (-11 + 4x)) = 0
((-121 + 44x) + 4x * (-11 + 4x)) = 0
(-121 + 44x + (-11 * 4x + 4x * 4x)) = 0
(-121 + 44x + (-44x + 16x2)) = 0
Combine like terms: 44x + -44x = 0
(-121 + 0 + 16x2) = 0
(-121 + 16x2) = 0
Solving
-121 + 16x2 = 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 + 16x2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 16x2 = 0 + 121
16x2 = 0 + 121
Combine like terms: 0 + 121 = 121
16x2 = 121
Divide each side by '16'.
x2 = 7.5625
Simplifying
x2 = 7.5625
Take the square root of each side:
x = {-2.75, 2.75}
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