(4x+11)(4x-11)=

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Solution for (4x+11)(4x-11)= equation:


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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