sqrt(2k+4)-sqrt(-1-k)=-1

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Solution for sqrt(2k+4)-sqrt(-1-k)=-1 equation:


Simplifying
sqrt(2k + 4) + -1sqrt(-1 + -1k) = -1

Reorder the terms:
qrst(4 + 2k) + -1sqrt(-1 + -1k) = -1
(4 * qrst + 2k * qrst) + -1sqrt(-1 + -1k) = -1

Reorder the terms:
(2kqrst + 4qrst) + -1sqrt(-1 + -1k) = -1
(2kqrst + 4qrst) + -1sqrt(-1 + -1k) = -1
2kqrst + 4qrst + (-1 * -1qrst + -1k * -1qrst) = -1

Reorder the terms:
2kqrst + 4qrst + (1kqrst + 1qrst) = -1
2kqrst + 4qrst + (1kqrst + 1qrst) = -1

Reorder the terms:
2kqrst + 1kqrst + 4qrst + 1qrst = -1

Combine like terms: 2kqrst + 1kqrst = 3kqrst
3kqrst + 4qrst + 1qrst = -1

Combine like terms: 4qrst + 1qrst = 5qrst
3kqrst + 5qrst = -1

Solving
3kqrst + 5qrst = -1

Solving for variable 'k'.

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

Add '-5qrst' to each side of the equation.
3kqrst + 5qrst + -5qrst = -1 + -5qrst

Combine like terms: 5qrst + -5qrst = 0
3kqrst + 0 = -1 + -5qrst
3kqrst = -1 + -5qrst

Divide each side by '3qrst'.
k = -0.3333333333q-1r-1s-1t-1 + -1.666666667

Simplifying
k = -0.3333333333q-1r-1s-1t-1 + -1.666666667

Reorder the terms:
k = -1.666666667 + -0.3333333333q-1r-1s-1t-1

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