5+y-4y^2-7=

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Solution for 5+y-4y^2-7= equation:


Simplifying
5 + y + -4y2 + -7 = 0

Reorder the terms:
5 + -7 + y + -4y2 = 0

Combine like terms: 5 + -7 = -2
-2 + y + -4y2 = 0

Solving
-2 + y + -4y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.5 + -0.25y + y2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.25y + -0.5 + y2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.25y + y2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25y + y2 = 0 + -0.5
-0.25y + y2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.25y + y2 = -0.5

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.25y + 0.25 + y2 = -0.5 + 0.25

Reorder the terms:
0.25 + -0.25y + y2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -0.25y + y2 = -0.25

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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