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Simplifying
(3x + 2)(3x + -2) = 8
Reorder the terms:
(2 + 3x)(3x + -2) = 8
Reorder the terms:
(2 + 3x)(-2 + 3x) = 8
Multiply (2 + 3x) * (-2 + 3x)
(2(-2 + 3x) + 3x * (-2 + 3x)) = 8
((-2 * 2 + 3x * 2) + 3x * (-2 + 3x)) = 8
((-4 + 6x) + 3x * (-2 + 3x)) = 8
(-4 + 6x + (-2 * 3x + 3x * 3x)) = 8
(-4 + 6x + (-6x + 9x2)) = 8
Combine like terms: 6x + -6x = 0
(-4 + 0 + 9x2) = 8
(-4 + 9x2) = 8
Solving
-4 + 9x2 = 8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 9x2 = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 9x2 = 8 + 4
9x2 = 8 + 4
Combine like terms: 8 + 4 = 12
9x2 = 12
Divide each side by '9'.
x2 = 1.333333333
Simplifying
x2 = 1.333333333
Take the square root of each side:
x = {-1.154700538, 1.154700538}
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