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Simplifying
(12y + 5)(12y + -5) = 0
Reorder the terms:
(5 + 12y)(12y + -5) = 0
Reorder the terms:
(5 + 12y)(-5 + 12y) = 0
Multiply (5 + 12y) * (-5 + 12y)
(5(-5 + 12y) + 12y * (-5 + 12y)) = 0
((-5 * 5 + 12y * 5) + 12y * (-5 + 12y)) = 0
((-25 + 60y) + 12y * (-5 + 12y)) = 0
(-25 + 60y + (-5 * 12y + 12y * 12y)) = 0
(-25 + 60y + (-60y + 144y2)) = 0
Combine like terms: 60y + -60y = 0
(-25 + 0 + 144y2) = 0
(-25 + 144y2) = 0
Solving
-25 + 144y2 = 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 + 144y2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 144y2 = 0 + 25
144y2 = 0 + 25
Combine like terms: 0 + 25 = 25
144y2 = 25
Divide each side by '144'.
y2 = 0.1736111111
Simplifying
y2 = 0.1736111111
Take the square root of each side:
y = {-0.416666667, 0.416666667}
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