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Simplifying
(3x + 5)(3x + -5) = 11
Reorder the terms:
(5 + 3x)(3x + -5) = 11
Reorder the terms:
(5 + 3x)(-5 + 3x) = 11
Multiply (5 + 3x) * (-5 + 3x)
(5(-5 + 3x) + 3x * (-5 + 3x)) = 11
((-5 * 5 + 3x * 5) + 3x * (-5 + 3x)) = 11
((-25 + 15x) + 3x * (-5 + 3x)) = 11
(-25 + 15x + (-5 * 3x + 3x * 3x)) = 11
(-25 + 15x + (-15x + 9x2)) = 11
Combine like terms: 15x + -15x = 0
(-25 + 0 + 9x2) = 11
(-25 + 9x2) = 11
Solving
-25 + 9x2 = 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 + 9x2 = 11 + 25
Combine like terms: -25 + 25 = 0
0 + 9x2 = 11 + 25
9x2 = 11 + 25
Combine like terms: 11 + 25 = 36
9x2 = 36
Divide each side by '9'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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