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Simplifying
(3x + -2)(3x + 2) = 77
Reorder the terms:
(-2 + 3x)(3x + 2) = 77
Reorder the terms:
(-2 + 3x)(2 + 3x) = 77
Multiply (-2 + 3x) * (2 + 3x)
(-2(2 + 3x) + 3x * (2 + 3x)) = 77
((2 * -2 + 3x * -2) + 3x * (2 + 3x)) = 77
((-4 + -6x) + 3x * (2 + 3x)) = 77
(-4 + -6x + (2 * 3x + 3x * 3x)) = 77
(-4 + -6x + (6x + 9x2)) = 77
Combine like terms: -6x + 6x = 0
(-4 + 0 + 9x2) = 77
(-4 + 9x2) = 77
Solving
-4 + 9x2 = 77
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 = 77 + 4
Combine like terms: -4 + 4 = 0
0 + 9x2 = 77 + 4
9x2 = 77 + 4
Combine like terms: 77 + 4 = 81
9x2 = 81
Divide each side by '9'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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