2y-14-7y=y^2-2y

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Solution for 2y-14-7y=y^2-2y equation: 


Simplifying
2y + -14 + -7y = y2 + -2y

Reorder the terms:
-14 + 2y + -7y = y2 + -2y

Combine like terms: 2y + -7y = -5y
-14 + -5y = y2 + -2y

Reorder the terms:
-14 + -5y = -2y + y2

Solving
-14 + -5y = -2y + y2

Solving for variable 'y'.

Combine like terms: -5y + 2y = -3y
-14 + -3y + -1y2 = -2y + y2 + 2y + -1y2

Reorder the terms:
-14 + -3y + -1y2 = -2y + 2y + y2 + -1y2

Combine like terms: -2y + 2y = 0
-14 + -3y + -1y2 = 0 + y2 + -1y2
-14 + -3y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-14 + -3y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 3y + y2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(14 + 3y + y2)' equal to zero and attempt to solve:

Simplifying
14 + 3y + y2 = 0

Solving
14 + 3y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 3y + -14 + y2 = 0 + -14

Reorder the terms:
14 + -14 + 3y + y2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3y + y2 = 0 + -14
3y + y2 = 0 + -14

Combine like terms: 0 + -14 = -14
3y + y2 = -14

The y term is 3y.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3y + 2.25 + y2 = -14 + 2.25

Reorder the terms:
2.25 + 3y + y2 = -14 + 2.25

Combine like terms: -14 + 2.25 = -11.75
2.25 + 3y + y2 = -11.75

Factor a perfect square on the left side:
(y + 1.5)(y + 1.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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