x^2-2sqrt(5x)-12=0

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Solution for x^2-2sqrt(5x)-12=0 equation:


Simplifying
x2 + -2sqrt(5x) + -12 = 0

Remove parenthesis around (5x)
x2 + -2qrst * 5x + -12 = 0

Reorder the terms for easier multiplication:
x2 + -2 * 5qrst * x + -12 = 0

Multiply -2 * 5
x2 + -10qrst * x + -12 = 0

Multiply qrst * x
x2 + -10qrstx + -12 = 0

Reorder the terms:
-12 + -10qrstx + x2 = 0

Solving
-12 + -10qrstx + x2 = 0

Solving for variable 'q'.

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

Add '12' to each side of the equation.
-12 + -10qrstx + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -10qrstx + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -10qrstx + x2 = 0 + 12
-10qrstx + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-10qrstx + x2 = 12

Add '-1x2' to each side of the equation.
-10qrstx + x2 + -1x2 = 12 + -1x2

Combine like terms: x2 + -1x2 = 0
-10qrstx + 0 = 12 + -1x2
-10qrstx = 12 + -1x2

Divide each side by '-10rstx'.
q = -1.2r-1s-1t-1x-1 + 0.1r-1s-1t-1x

Simplifying
q = -1.2r-1s-1t-1x-1 + 0.1r-1s-1t-1x

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