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Simplifying
(3x + 13)(3x + -13) = 0
Reorder the terms:
(13 + 3x)(3x + -13) = 0
Reorder the terms:
(13 + 3x)(-13 + 3x) = 0
Multiply (13 + 3x) * (-13 + 3x)
(13(-13 + 3x) + 3x * (-13 + 3x)) = 0
((-13 * 13 + 3x * 13) + 3x * (-13 + 3x)) = 0
((-169 + 39x) + 3x * (-13 + 3x)) = 0
(-169 + 39x + (-13 * 3x + 3x * 3x)) = 0
(-169 + 39x + (-39x + 9x2)) = 0
Combine like terms: 39x + -39x = 0
(-169 + 0 + 9x2) = 0
(-169 + 9x2) = 0
Solving
-169 + 9x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '169' to each side of the equation.
-169 + 169 + 9x2 = 0 + 169
Combine like terms: -169 + 169 = 0
0 + 9x2 = 0 + 169
9x2 = 0 + 169
Combine like terms: 0 + 169 = 169
9x2 = 169
Divide each side by '9'.
x2 = 18.77777778
Simplifying
x2 = 18.77777778
Take the square root of each side:
x = {-4.333333334, 4.333333334}
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