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Simplifying
(x + -5)(x + 5) = 11
Reorder the terms:
(-5 + x)(x + 5) = 11
Reorder the terms:
(-5 + x)(5 + x) = 11
Multiply (-5 + x) * (5 + x)
(-5(5 + x) + x(5 + x)) = 11
((5 * -5 + x * -5) + x(5 + x)) = 11
((-25 + -5x) + x(5 + x)) = 11
(-25 + -5x + (5 * x + x * x)) = 11
(-25 + -5x + (5x + x2)) = 11
Combine like terms: -5x + 5x = 0
(-25 + 0 + x2) = 11
(-25 + x2) = 11
Solving
-25 + x2 = 11
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 = 11 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 11 + 25
x2 = 11 + 25
Combine like terms: 11 + 25 = 36
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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