2y^2-y+43=y^2+25

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Solution for 2y^2-y+43=y^2+25 equation: 


Simplifying
2y2 + -1y + 43 = y2 + 25

Reorder the terms:
43 + -1y + 2y2 = y2 + 25

Reorder the terms:
43 + -1y + 2y2 = 25 + y2

Solving
43 + -1y + 2y2 = 25 + y2

Solving for variable 'y'.

Reorder the terms:
43 + -25 + -1y + 2y2 + -1y2 = 25 + y2 + -25 + -1y2

Combine like terms: 43 + -25 = 18
18 + -1y + 2y2 + -1y2 = 25 + y2 + -25 + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
18 + -1y + 1y2 = 25 + y2 + -25 + -1y2

Reorder the terms:
18 + -1y + 1y2 = 25 + -25 + y2 + -1y2

Combine like terms: 25 + -25 = 0
18 + -1y + 1y2 = 0 + y2 + -1y2
18 + -1y + 1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
18 + -1y + 1y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -1y + -18 + y2 = 0 + -18

Reorder the terms:
18 + -18 + -1y + y2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1y + y2 = 0 + -18
-1y + y2 = 0 + -18

Combine like terms: 0 + -18 = -18
-1y + y2 = -18

The y term is -1y.  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.
-1y + 0.25 + y2 = -18 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -18 + 0.25

Combine like terms: -18 + 0.25 = -17.75
0.25 + -1y + y2 = -17.75

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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