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Simplifying
(7y + -1)(7y + 1) = 0
Reorder the terms:
(-1 + 7y)(7y + 1) = 0
Reorder the terms:
(-1 + 7y)(1 + 7y) = 0
Multiply (-1 + 7y) * (1 + 7y)
(-1(1 + 7y) + 7y * (1 + 7y)) = 0
((1 * -1 + 7y * -1) + 7y * (1 + 7y)) = 0
((-1 + -7y) + 7y * (1 + 7y)) = 0
(-1 + -7y + (1 * 7y + 7y * 7y)) = 0
(-1 + -7y + (7y + 49y2)) = 0
Combine like terms: -7y + 7y = 0
(-1 + 0 + 49y2) = 0
(-1 + 49y2) = 0
Solving
-1 + 49y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 49y2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 49y2 = 0 + 1
49y2 = 0 + 1
Combine like terms: 0 + 1 = 1
49y2 = 1
Divide each side by '49'.
y2 = 0.02040816327
Simplifying
y2 = 0.02040816327
Take the square root of each side:
y = {-0.142857143, 0.142857143}
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