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Simplifying
(6x + 8)(6x + -8) = 0
Reorder the terms:
(8 + 6x)(6x + -8) = 0
Reorder the terms:
(8 + 6x)(-8 + 6x) = 0
Multiply (8 + 6x) * (-8 + 6x)
(8(-8 + 6x) + 6x * (-8 + 6x)) = 0
((-8 * 8 + 6x * 8) + 6x * (-8 + 6x)) = 0
((-64 + 48x) + 6x * (-8 + 6x)) = 0
(-64 + 48x + (-8 * 6x + 6x * 6x)) = 0
(-64 + 48x + (-48x + 36x2)) = 0
Combine like terms: 48x + -48x = 0
(-64 + 0 + 36x2) = 0
(-64 + 36x2) = 0
Solving
-64 + 36x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '64' to each side of the equation.
-64 + 64 + 36x2 = 0 + 64
Combine like terms: -64 + 64 = 0
0 + 36x2 = 0 + 64
36x2 = 0 + 64
Combine like terms: 0 + 64 = 64
36x2 = 64
Divide each side by '36'.
x2 = 1.777777778
Simplifying
x2 = 1.777777778
Take the square root of each side:
x = {-1.333333333, 1.333333333}
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