x^2+2sqrt(10x)+24=0

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Solution for x^2+2sqrt(10x)+24=0 equation:


Simplifying
x2 + 2sqrt(10x) + 24 = 0

Remove parenthesis around (10x)
x2 + 2qrst * 10x + 24 = 0

Reorder the terms for easier multiplication:
x2 + 2 * 10qrst * x + 24 = 0

Multiply 2 * 10
x2 + 20qrst * x + 24 = 0

Multiply qrst * x
x2 + 20qrstx + 24 = 0

Reorder the terms:
24 + 20qrstx + x2 = 0

Solving
24 + 20qrstx + x2 = 0

Solving for variable 'q'.

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

Add '-24' to each side of the equation.
24 + 20qrstx + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + 20qrstx + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 20qrstx + x2 = 0 + -24
20qrstx + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
20qrstx + x2 = -24

Add '-1x2' to each side of the equation.
20qrstx + x2 + -1x2 = -24 + -1x2

Combine like terms: x2 + -1x2 = 0
20qrstx + 0 = -24 + -1x2
20qrstx = -24 + -1x2

Divide each side by '20rstx'.
q = -1.2r-1s-1t-1x-1 + -0.05r-1s-1t-1x

Simplifying
q = -1.2r-1s-1t-1x-1 + -0.05r-1s-1t-1x

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