-10x^2-sqrt(5)x+1=0

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Solution for -10x^2-sqrt(5)x+1=0 equation:


Simplifying
-10x2 + -1sqrt(5) * x + 1 = 0

Reorder the terms for easier multiplication:
-10x2 + -1 * 5qrst * x + 1 = 0

Multiply -1 * 5
-10x2 + -5qrst * x + 1 = 0

Multiply qrst * x
-10x2 + -5qrstx + 1 = 0

Reorder the terms:
1 + -5qrstx + -10x2 = 0

Solving
1 + -5qrstx + -10x2 = 0

Solving for variable 'q'.

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

Add '-1' to each side of the equation.
1 + -5qrstx + -1 + -10x2 = 0 + -1

Reorder the terms:
1 + -1 + -5qrstx + -10x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5qrstx + -10x2 = 0 + -1
-5qrstx + -10x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-5qrstx + -10x2 = -1

Add '10x2' to each side of the equation.
-5qrstx + -10x2 + 10x2 = -1 + 10x2

Combine like terms: -10x2 + 10x2 = 0
-5qrstx + 0 = -1 + 10x2
-5qrstx = -1 + 10x2

Divide each side by '-5rstx'.
q = 0.2r-1s-1t-1x-1 + -2r-1s-1t-1x

Simplifying
q = 0.2r-1s-1t-1x-1 + -2r-1s-1t-1x

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