7y(y-3)=5y-27

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Solution for 7y(y-3)=5y-27 equation: 


Simplifying
7y(y + -3) = 5y + -27

Reorder the terms:
7y(-3 + y) = 5y + -27
(-3 * 7y + y * 7y) = 5y + -27
(-21y + 7y2) = 5y + -27

Reorder the terms:
-21y + 7y2 = -27 + 5y

Solving
-21y + 7y2 = -27 + 5y

Solving for variable 'y'.

Reorder the terms:
27 + -21y + -5y + 7y2 = -27 + 5y + 27 + -5y

Combine like terms: -21y + -5y = -26y
27 + -26y + 7y2 = -27 + 5y + 27 + -5y

Reorder the terms:
27 + -26y + 7y2 = -27 + 27 + 5y + -5y

Combine like terms: -27 + 27 = 0
27 + -26y + 7y2 = 0 + 5y + -5y
27 + -26y + 7y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
27 + -26y + 7y2 = 0

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

Divide each side by '7'.
3.857142857 + -3.714285714y + y2 = 0

Move the constant term to the right:

Add '-3.857142857' to each side of the equation.
3.857142857 + -3.714285714y + -3.857142857 + y2 = 0 + -3.857142857

Reorder the terms:
3.857142857 + -3.857142857 + -3.714285714y + y2 = 0 + -3.857142857

Combine like terms: 3.857142857 + -3.857142857 = 0.000000000
0.000000000 + -3.714285714y + y2 = 0 + -3.857142857
-3.714285714y + y2 = 0 + -3.857142857

Combine like terms: 0 + -3.857142857 = -3.857142857
-3.714285714y + y2 = -3.857142857

The y term is -3.714285714y.  Take half its coefficient (-1.857142857).
Square it (3.448979591) and add it to both sides.

Add '3.448979591' to each side of the equation.
-3.714285714y + 3.448979591 + y2 = -3.857142857 + 3.448979591

Reorder the terms:
3.448979591 + -3.714285714y + y2 = -3.857142857 + 3.448979591

Combine like terms: -3.857142857 + 3.448979591 = -0.408163266
3.448979591 + -3.714285714y + y2 = -0.408163266

Factor a perfect square on the left side:
(y + -1.857142857)(y + -1.857142857) = -0.408163266

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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