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Simplifying
(6x + 2)(3x + -1) = 0
Reorder the terms:
(2 + 6x)(3x + -1) = 0
Reorder the terms:
(2 + 6x)(-1 + 3x) = 0
Multiply (2 + 6x) * (-1 + 3x)
(2(-1 + 3x) + 6x * (-1 + 3x)) = 0
((-1 * 2 + 3x * 2) + 6x * (-1 + 3x)) = 0
((-2 + 6x) + 6x * (-1 + 3x)) = 0
(-2 + 6x + (-1 * 6x + 3x * 6x)) = 0
(-2 + 6x + (-6x + 18x2)) = 0
Combine like terms: 6x + -6x = 0
(-2 + 0 + 18x2) = 0
(-2 + 18x2) = 0
Solving
-2 + 18x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 18x2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 18x2 = 0 + 2
18x2 = 0 + 2
Combine like terms: 0 + 2 = 2
18x2 = 2
Divide each side by '18'.
x2 = 0.1111111111
Simplifying
x2 = 0.1111111111
Take the square root of each side:
x = {-0.333333333, 0.333333333}
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