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Simplifying
(7 + -6y)(7 + 6y) = 0
Multiply (7 + -6y) * (7 + 6y)
(7(7 + 6y) + -6y * (7 + 6y)) = 0
((7 * 7 + 6y * 7) + -6y * (7 + 6y)) = 0
((49 + 42y) + -6y * (7 + 6y)) = 0
(49 + 42y + (7 * -6y + 6y * -6y)) = 0
(49 + 42y + (-42y + -36y2)) = 0
Combine like terms: 42y + -42y = 0
(49 + 0 + -36y2) = 0
(49 + -36y2) = 0
Solving
49 + -36y2 = 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 + -36y2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -36y2 = 0 + -49
-36y2 = 0 + -49
Combine like terms: 0 + -49 = -49
-36y2 = -49
Divide each side by '-36'.
y2 = 1.361111111
Simplifying
y2 = 1.361111111
Take the square root of each side:
y = {-1.166666667, 1.166666667}
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