(7Y+11)(7Y-11)=

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Solution for (7Y+11)(7Y-11)= equation: 


Simplifying
(7Y + 11)(7Y + -11) = 0

Reorder the terms:
(11 + 7Y)(7Y + -11) = 0

Reorder the terms:
(11 + 7Y)(-11 + 7Y) = 0

Multiply (11 + 7Y) * (-11 + 7Y)
(11(-11 + 7Y) + 7Y * (-11 + 7Y)) = 0
((-11 * 11 + 7Y * 11) + 7Y * (-11 + 7Y)) = 0
((-121 + 77Y) + 7Y * (-11 + 7Y)) = 0
(-121 + 77Y + (-11 * 7Y + 7Y * 7Y)) = 0
(-121 + 77Y + (-77Y + 49Y2)) = 0

Combine like terms: 77Y + -77Y = 0
(-121 + 0 + 49Y2) = 0
(-121 + 49Y2) = 0

Solving
-121 + 49Y2 = 0

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '121' to each side of the equation.
-121 + 121 + 49Y2 = 0 + 121

Combine like terms: -121 + 121 = 0
0 + 49Y2 = 0 + 121
49Y2 = 0 + 121

Combine like terms: 0 + 121 = 121
49Y2 = 121

Divide each side by '49'.
Y2 = 2.469387755

Simplifying
Y2 = 2.469387755

Take the square root of each side:
Y = {-1.571428571, 1.571428571}

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