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Simplifying
(x + 7)(-1x + 7) = 8
Reorder the terms:
(7 + x)(-1x + 7) = 8
Reorder the terms:
(7 + x)(7 + -1x) = 8
Multiply (7 + x) * (7 + -1x)
(7(7 + -1x) + x(7 + -1x)) = 8
((7 * 7 + -1x * 7) + x(7 + -1x)) = 8
((49 + -7x) + x(7 + -1x)) = 8
(49 + -7x + (7 * x + -1x * x)) = 8
(49 + -7x + (7x + -1x2)) = 8
Combine like terms: -7x + 7x = 0
(49 + 0 + -1x2) = 8
(49 + -1x2) = 8
Solving
49 + -1x2 = 8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-49' to each side of the equation.
49 + -49 + -1x2 = 8 + -49
Combine like terms: 49 + -49 = 0
0 + -1x2 = 8 + -49
-1x2 = 8 + -49
Combine like terms: 8 + -49 = -41
-1x2 = -41
Divide each side by '-1'.
x2 = 41
Simplifying
x2 = 41
Take the square root of each side:
x = {-6.403124237, 6.403124237}
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