(7y+3)(7y+3)+81=0

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Solution for (7y+3)(7y+3)+81=0 equation: 


Simplifying
(7y + 3)(7y + 3) + 81 = 0

Reorder the terms:
(3 + 7y)(7y + 3) + 81 = 0

Reorder the terms:
(3 + 7y)(3 + 7y) + 81 = 0

Multiply (3 + 7y) * (3 + 7y)
(3(3 + 7y) + 7y * (3 + 7y)) + 81 = 0
((3 * 3 + 7y * 3) + 7y * (3 + 7y)) + 81 = 0
((9 + 21y) + 7y * (3 + 7y)) + 81 = 0
(9 + 21y + (3 * 7y + 7y * 7y)) + 81 = 0
(9 + 21y + (21y + 49y2)) + 81 = 0

Combine like terms: 21y + 21y = 42y
(9 + 42y + 49y2) + 81 = 0

Reorder the terms:
9 + 81 + 42y + 49y2 = 0

Combine like terms: 9 + 81 = 90
90 + 42y + 49y2 = 0

Solving
90 + 42y + 49y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
49 the coefficient of the squared term: 

Divide each side by '49'.
1.836734694 + 0.8571428571y + y2 = 0

Move the constant term to the right:

Add '-1.836734694' to each side of the equation.
1.836734694 + 0.8571428571y + -1.836734694 + y2 = 0 + -1.836734694

Reorder the terms:
1.836734694 + -1.836734694 + 0.8571428571y + y2 = 0 + -1.836734694

Combine like terms: 1.836734694 + -1.836734694 = 0.000000000
0.000000000 + 0.8571428571y + y2 = 0 + -1.836734694
0.8571428571y + y2 = 0 + -1.836734694

Combine like terms: 0 + -1.836734694 = -1.836734694
0.8571428571y + y2 = -1.836734694

The y term is 0.8571428571y.  Take half its coefficient (0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
0.8571428571y + 0.1836734694 + y2 = -1.836734694 + 0.1836734694

Reorder the terms:
0.1836734694 + 0.8571428571y + y2 = -1.836734694 + 0.1836734694

Combine like terms: -1.836734694 + 0.1836734694 = -1.6530612246
0.1836734694 + 0.8571428571y + y2 = -1.6530612246

Factor a perfect square on the left side:
(y + 0.4285714286)(y + 0.4285714286) = -1.6530612246

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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