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Simplifying
(2x + 5)(2x + -5) = 11
Reorder the terms:
(5 + 2x)(2x + -5) = 11
Reorder the terms:
(5 + 2x)(-5 + 2x) = 11
Multiply (5 + 2x) * (-5 + 2x)
(5(-5 + 2x) + 2x * (-5 + 2x)) = 11
((-5 * 5 + 2x * 5) + 2x * (-5 + 2x)) = 11
((-25 + 10x) + 2x * (-5 + 2x)) = 11
(-25 + 10x + (-5 * 2x + 2x * 2x)) = 11
(-25 + 10x + (-10x + 4x2)) = 11
Combine like terms: 10x + -10x = 0
(-25 + 0 + 4x2) = 11
(-25 + 4x2) = 11
Solving
-25 + 4x2 = 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 + 4x2 = 11 + 25
Combine like terms: -25 + 25 = 0
0 + 4x2 = 11 + 25
4x2 = 11 + 25
Combine like terms: 11 + 25 = 36
4x2 = 36
Divide each side by '4'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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