(1+g)sqrt(k)+4k=1

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


Simplifying
(1 + g) * sqrt(k) + 4k = 1

Reorder the terms for easier multiplication:
qrst * k(1 + g) + 4k = 1

Multiply qrst * k
kqrst(1 + g) + 4k = 1
(1 * kqrst + g * kqrst) + 4k = 1

Reorder the terms:
(gkqrst + 1kqrst) + 4k = 1
(gkqrst + 1kqrst) + 4k = 1

Reorder the terms:
gkqrst + 4k + 1kqrst = 1

Solving
gkqrst + 4k + 1kqrst = 1

Solving for variable 'g'.

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

Add '-4k' to each side of the equation.
gkqrst + 4k + -4k + 1kqrst = 1 + -4k

Combine like terms: 4k + -4k = 0
gkqrst + 0 + 1kqrst = 1 + -4k
gkqrst + 1kqrst = 1 + -4k

Add '-1kqrst' to each side of the equation.
gkqrst + 1kqrst + -1kqrst = 1 + -4k + -1kqrst

Combine like terms: 1kqrst + -1kqrst = 0
gkqrst + 0 = 1 + -4k + -1kqrst
gkqrst = 1 + -4k + -1kqrst

Divide each side by 'kqrst'.
g = k-1q-1r-1s-1t-1 + -4q-1r-1s-1t-1 + -1

Simplifying
g = k-1q-1r-1s-1t-1 + -4q-1r-1s-1t-1 + -1

Reorder the terms:
g = -1 + k-1q-1r-1s-1t-1 + -4q-1r-1s-1t-1

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