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Simplifying
(3x + 1)(3x + -1) = 9
Reorder the terms:
(1 + 3x)(3x + -1) = 9
Reorder the terms:
(1 + 3x)(-1 + 3x) = 9
Multiply (1 + 3x) * (-1 + 3x)
(1(-1 + 3x) + 3x * (-1 + 3x)) = 9
((-1 * 1 + 3x * 1) + 3x * (-1 + 3x)) = 9
((-1 + 3x) + 3x * (-1 + 3x)) = 9
(-1 + 3x + (-1 * 3x + 3x * 3x)) = 9
(-1 + 3x + (-3x + 9x2)) = 9
Combine like terms: 3x + -3x = 0
(-1 + 0 + 9x2) = 9
(-1 + 9x2) = 9
Solving
-1 + 9x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 9x2 = 9 + 1
Combine like terms: -1 + 1 = 0
0 + 9x2 = 9 + 1
9x2 = 9 + 1
Combine like terms: 9 + 1 = 10
9x2 = 10
Divide each side by '9'.
x2 = 1.111111111
Simplifying
x2 = 1.111111111
Take the square root of each side:
x = {-1.054092553, 1.054092553}
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