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Simplifying
(7x + 4)(7x + -4) = 0
Reorder the terms:
(4 + 7x)(7x + -4) = 0
Reorder the terms:
(4 + 7x)(-4 + 7x) = 0
Multiply (4 + 7x) * (-4 + 7x)
(4(-4 + 7x) + 7x * (-4 + 7x)) = 0
((-4 * 4 + 7x * 4) + 7x * (-4 + 7x)) = 0
((-16 + 28x) + 7x * (-4 + 7x)) = 0
(-16 + 28x + (-4 * 7x + 7x * 7x)) = 0
(-16 + 28x + (-28x + 49x2)) = 0
Combine like terms: 28x + -28x = 0
(-16 + 0 + 49x2) = 0
(-16 + 49x2) = 0
Solving
-16 + 49x2 = 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 + 49x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 49x2 = 0 + 16
49x2 = 0 + 16
Combine like terms: 0 + 16 = 16
49x2 = 16
Divide each side by '49'.
x2 = 0.3265306122
Simplifying
x2 = 0.3265306122
Take the square root of each side:
x = {-0.571428571, 0.571428571}
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