7y(y-2)=4y-29

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Solution for 7y(y-2)=4y-29 equation: 


Simplifying
7y(y + -2) = 4y + -29

Reorder the terms:
7y(-2 + y) = 4y + -29
(-2 * 7y + y * 7y) = 4y + -29
(-14y + 7y2) = 4y + -29

Reorder the terms:
-14y + 7y2 = -29 + 4y

Solving
-14y + 7y2 = -29 + 4y

Solving for variable 'y'.

Reorder the terms:
29 + -14y + -4y + 7y2 = -29 + 4y + 29 + -4y

Combine like terms: -14y + -4y = -18y
29 + -18y + 7y2 = -29 + 4y + 29 + -4y

Reorder the terms:
29 + -18y + 7y2 = -29 + 29 + 4y + -4y

Combine like terms: -29 + 29 = 0
29 + -18y + 7y2 = 0 + 4y + -4y
29 + -18y + 7y2 = 4y + -4y

Combine like terms: 4y + -4y = 0
29 + -18y + 7y2 = 0

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

Divide each side by '7'.
4.142857143 + -2.571428571y + y2 = 0

Move the constant term to the right:

Add '-4.142857143' to each side of the equation.
4.142857143 + -2.571428571y + -4.142857143 + y2 = 0 + -4.142857143

Reorder the terms:
4.142857143 + -4.142857143 + -2.571428571y + y2 = 0 + -4.142857143

Combine like terms: 4.142857143 + -4.142857143 = 0.000000000
0.000000000 + -2.571428571y + y2 = 0 + -4.142857143
-2.571428571y + y2 = 0 + -4.142857143

Combine like terms: 0 + -4.142857143 = -4.142857143
-2.571428571y + y2 = -4.142857143

The y term is -2.571428571y.  Take half its coefficient (-1.285714286).
Square it (1.653061225) and add it to both sides.

Add '1.653061225' to each side of the equation.
-2.571428571y + 1.653061225 + y2 = -4.142857143 + 1.653061225

Reorder the terms:
1.653061225 + -2.571428571y + y2 = -4.142857143 + 1.653061225

Combine like terms: -4.142857143 + 1.653061225 = -2.489795918
1.653061225 + -2.571428571y + y2 = -2.489795918

Factor a perfect square on the left side:
(y + -1.285714286)(y + -1.285714286) = -2.489795918

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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