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Simplifying
(6y + -13)(6y + 13) = 0
Reorder the terms:
(-13 + 6y)(6y + 13) = 0
Reorder the terms:
(-13 + 6y)(13 + 6y) = 0
Multiply (-13 + 6y) * (13 + 6y)
(-13(13 + 6y) + 6y * (13 + 6y)) = 0
((13 * -13 + 6y * -13) + 6y * (13 + 6y)) = 0
((-169 + -78y) + 6y * (13 + 6y)) = 0
(-169 + -78y + (13 * 6y + 6y * 6y)) = 0
(-169 + -78y + (78y + 36y2)) = 0
Combine like terms: -78y + 78y = 0
(-169 + 0 + 36y2) = 0
(-169 + 36y2) = 0
Solving
-169 + 36y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '169' to each side of the equation.
-169 + 169 + 36y2 = 0 + 169
Combine like terms: -169 + 169 = 0
0 + 36y2 = 0 + 169
36y2 = 0 + 169
Combine like terms: 0 + 169 = 169
36y2 = 169
Divide each side by '36'.
y2 = 4.694444444
Simplifying
y2 = 4.694444444
Take the square root of each side:
y = {-2.166666667, 2.166666667}
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