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Simplifying
(7x + 8)(7x + -8) = 0
Reorder the terms:
(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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