(X+5)(X-5)=216

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Solution for (X+5)(X-5)=216 equation:


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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