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Simplifying
(X + 5)(X + -5) = 216
Reorder the terms:
(5 + X)(X + -5) = 216
Reorder the terms:
(5 + X)(-5 + X) = 216
Multiply (5 + X) * (-5 + X)
(5(-5 + X) + X(-5 + X)) = 216
((-5 * 5 + X * 5) + X(-5 + X)) = 216
((-25 + 5X) + X(-5 + X)) = 216
(-25 + 5X + (-5 * X + X * X)) = 216
(-25 + 5X + (-5X + X2)) = 216
Combine like terms: 5X + -5X = 0
(-25 + 0 + X2) = 216
(-25 + X2) = 216
Solving
-25 + X2 = 216
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + X2 = 216 + 25
Combine like terms: -25 + 25 = 0
0 + X2 = 216 + 25
X2 = 216 + 25
Combine like terms: 216 + 25 = 241
X2 = 241
Simplifying
X2 = 241
Take the square root of each side:
X = {-15.524174696, 15.524174696}
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