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Simplifying
(7y + 5)(7y + -5) = 0
Reorder the terms:
(5 + 7y)(7y + -5) = 0
Reorder the terms:
(5 + 7y)(-5 + 7y) = 0
Multiply (5 + 7y) * (-5 + 7y)
(5(-5 + 7y) + 7y * (-5 + 7y)) = 0
((-5 * 5 + 7y * 5) + 7y * (-5 + 7y)) = 0
((-25 + 35y) + 7y * (-5 + 7y)) = 0
(-25 + 35y + (-5 * 7y + 7y * 7y)) = 0
(-25 + 35y + (-35y + 49y2)) = 0
Combine like terms: 35y + -35y = 0
(-25 + 0 + 49y2) = 0
(-25 + 49y2) = 0
Solving
-25 + 49y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 49y2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 49y2 = 0 + 25
49y2 = 0 + 25
Combine like terms: 0 + 25 = 25
49y2 = 25
Divide each side by '49'.
y2 = 0.5102040816
Simplifying
y2 = 0.5102040816
Take the square root of each side:
y = {-0.714285714, 0.714285714}
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