x^2+5x-k=0

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Solution for x^2+5x-k=0 equation:


Simplifying
x2 + 5x + -1k = 0

Reorder the terms:
-1k + 5x + x2 = 0

Solving
-1k + 5x + x2 = 0

Solving for variable 'k'.

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

Add '-5x' to each side of the equation.
-1k + 5x + -5x + x2 = 0 + -5x

Combine like terms: 5x + -5x = 0
-1k + 0 + x2 = 0 + -5x
-1k + x2 = 0 + -5x
Remove the zero:
-1k + x2 = -5x

Add '-1x2' to each side of the equation.
-1k + x2 + -1x2 = -5x + -1x2

Combine like terms: x2 + -1x2 = 0
-1k + 0 = -5x + -1x2
-1k = -5x + -1x2

Divide each side by '-1'.
k = 5x + x2

Simplifying
k = 5x + x2

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