y^2+2ky-5=0

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Solution for y^2+2ky-5=0 equation:


Simplifying
y2 + 2ky + -5 = 0

Reorder the terms:
-5 + 2ky + y2 = 0

Solving
-5 + 2ky + y2 = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 2ky + 5 + y2 = 0 + 5

Reorder the terms:
-5 + 5 + 2ky + y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2ky + y2 = 0 + 5
2ky + y2 = 0 + 5

Combine like terms: 0 + 5 = 5
2ky + y2 = 5

Add '-1y2' to each side of the equation.
2ky + y2 + -1y2 = 5 + -1y2

Combine like terms: y2 + -1y2 = 0
2ky + 0 = 5 + -1y2
2ky = 5 + -1y2

Divide each side by '2y'.
k = 2.5y-1 + -0.5y

Simplifying
k = 2.5y-1 + -0.5y

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