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Simplifying
(6x + 7)(6x + -7) = 0
Reorder the terms:
(7 + 6x)(6x + -7) = 0
Reorder the terms:
(7 + 6x)(-7 + 6x) = 0
Multiply (7 + 6x) * (-7 + 6x)
(7(-7 + 6x) + 6x * (-7 + 6x)) = 0
((-7 * 7 + 6x * 7) + 6x * (-7 + 6x)) = 0
((-49 + 42x) + 6x * (-7 + 6x)) = 0
(-49 + 42x + (-7 * 6x + 6x * 6x)) = 0
(-49 + 42x + (-42x + 36x2)) = 0
Combine like terms: 42x + -42x = 0
(-49 + 0 + 36x2) = 0
(-49 + 36x2) = 0
Solving
-49 + 36x2 = 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 + 36x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 36x2 = 0 + 49
36x2 = 0 + 49
Combine like terms: 0 + 49 = 49
36x2 = 49
Divide each side by '36'.
x2 = 1.361111111
Simplifying
x2 = 1.361111111
Take the square root of each side:
x = {-1.166666667, 1.166666667}
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