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Simplifying
(z + 11)(z + -11) = 81
Reorder the terms:
(11 + z)(z + -11) = 81
Reorder the terms:
(11 + z)(-11 + z) = 81
Multiply (11 + z) * (-11 + z)
(11(-11 + z) + z(-11 + z)) = 81
((-11 * 11 + z * 11) + z(-11 + z)) = 81
((-121 + 11z) + z(-11 + z)) = 81
(-121 + 11z + (-11 * z + z * z)) = 81
(-121 + 11z + (-11z + z2)) = 81
Combine like terms: 11z + -11z = 0
(-121 + 0 + z2) = 81
(-121 + z2) = 81
Solving
-121 + z2 = 81
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '121' to each side of the equation.
-121 + 121 + z2 = 81 + 121
Combine like terms: -121 + 121 = 0
0 + z2 = 81 + 121
z2 = 81 + 121
Combine like terms: 81 + 121 = 202
z2 = 202
Simplifying
z2 = 202
Take the square root of each side:
z = {-14.212670404, 14.212670404}
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