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Simplifying
(4y + -7)(4y + 7) = 0
Reorder the terms:
(-7 + 4y)(4y + 7) = 0
Reorder the terms:
(-7 + 4y)(7 + 4y) = 0
Multiply (-7 + 4y) * (7 + 4y)
(-7(7 + 4y) + 4y * (7 + 4y)) = 0
((7 * -7 + 4y * -7) + 4y * (7 + 4y)) = 0
((-49 + -28y) + 4y * (7 + 4y)) = 0
(-49 + -28y + (7 * 4y + 4y * 4y)) = 0
(-49 + -28y + (28y + 16y2)) = 0
Combine like terms: -28y + 28y = 0
(-49 + 0 + 16y2) = 0
(-49 + 16y2) = 0
Solving
-49 + 16y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 16y2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 16y2 = 0 + 49
16y2 = 0 + 49
Combine like terms: 0 + 49 = 49
16y2 = 49
Divide each side by '16'.
y2 = 3.0625
Simplifying
y2 = 3.0625
Take the square root of each side:
y = {-1.75, 1.75}
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