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Simplifying
(8 + -7x)(7x + 8) = 0
Reorder the terms:
(8 + -7x)(8 + 7x) = 0
Multiply (8 + -7x) * (8 + 7x)
(8(8 + 7x) + -7x * (8 + 7x)) = 0
((8 * 8 + 7x * 8) + -7x * (8 + 7x)) = 0
((64 + 56x) + -7x * (8 + 7x)) = 0
(64 + 56x + (8 * -7x + 7x * -7x)) = 0
(64 + 56x + (-56x + -49x2)) = 0
Combine like terms: 56x + -56x = 0
(64 + 0 + -49x2) = 0
(64 + -49x2) = 0
Solving
64 + -49x2 = 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 + -49x2 = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -49x2 = 0 + -64
-49x2 = 0 + -64
Combine like terms: 0 + -64 = -64
-49x2 = -64
Divide each side by '-49'.
x2 = 1.306122449
Simplifying
x2 = 1.306122449
Take the square root of each side:
x = {-1.142857143, 1.142857143}
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