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Simplifying
(3x + -7)(3x + 7) = 0
Reorder the terms:
(-7 + 3x)(3x + 7) = 0
Reorder the terms:
(-7 + 3x)(7 + 3x) = 0
Multiply (-7 + 3x) * (7 + 3x)
(-7(7 + 3x) + 3x * (7 + 3x)) = 0
((7 * -7 + 3x * -7) + 3x * (7 + 3x)) = 0
((-49 + -21x) + 3x * (7 + 3x)) = 0
(-49 + -21x + (7 * 3x + 3x * 3x)) = 0
(-49 + -21x + (21x + 9x2)) = 0
Combine like terms: -21x + 21x = 0
(-49 + 0 + 9x2) = 0
(-49 + 9x2) = 0
Solving
-49 + 9x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 9x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 9x2 = 0 + 49
9x2 = 0 + 49
Combine like terms: 0 + 49 = 49
9x2 = 49
Divide each side by '9'.
x2 = 5.444444444
Simplifying
x2 = 5.444444444
Take the square root of each side:
x = {-2.333333333, 2.333333333}
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