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Simplifying
(6x + 5)(6x + -5) = 0
Reorder the terms:
(5 + 6x)(6x + -5) = 0
Reorder the terms:
(5 + 6x)(-5 + 6x) = 0
Multiply (5 + 6x) * (-5 + 6x)
(5(-5 + 6x) + 6x * (-5 + 6x)) = 0
((-5 * 5 + 6x * 5) + 6x * (-5 + 6x)) = 0
((-25 + 30x) + 6x * (-5 + 6x)) = 0
(-25 + 30x + (-5 * 6x + 6x * 6x)) = 0
(-25 + 30x + (-30x + 36x2)) = 0
Combine like terms: 30x + -30x = 0
(-25 + 0 + 36x2) = 0
(-25 + 36x2) = 0
Solving
-25 + 36x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 36x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 36x2 = 0 + 25
36x2 = 0 + 25
Combine like terms: 0 + 25 = 25
36x2 = 25
Divide each side by '36'.
x2 = 0.6944444444
Simplifying
x2 = 0.6944444444
Take the square root of each side:
x = {-0.833333333, 0.833333333}
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