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Simplifying
(6x + 4)(6x + -4) = 0
Reorder the terms:
(4 + 6x)(6x + -4) = 0
Reorder the terms:
(4 + 6x)(-4 + 6x) = 0
Multiply (4 + 6x) * (-4 + 6x)
(4(-4 + 6x) + 6x * (-4 + 6x)) = 0
((-4 * 4 + 6x * 4) + 6x * (-4 + 6x)) = 0
((-16 + 24x) + 6x * (-4 + 6x)) = 0
(-16 + 24x + (-4 * 6x + 6x * 6x)) = 0
(-16 + 24x + (-24x + 36x2)) = 0
Combine like terms: 24x + -24x = 0
(-16 + 0 + 36x2) = 0
(-16 + 36x2) = 0
Solving
-16 + 36x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 36x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 36x2 = 0 + 16
36x2 = 0 + 16
Combine like terms: 0 + 16 = 16
36x2 = 16
Divide each side by '36'.
x2 = 0.4444444444
Simplifying
x2 = 0.4444444444
Take the square root of each side:
x = {-0.666666667, 0.666666667}
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