x(3x-5)+sqrt(10)=0

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Solution for x(3x-5)+sqrt(10)=0 equation: 


Simplifying
x(3x + -5) + sqrt(10) = 0

Reorder the terms:
x(-5 + 3x) + sqrt(10) = 0
(-5 * x + 3x * x) + sqrt(10) = 0
(-5x + 3x2) + sqrt(10) = 0

Reorder the terms for easier multiplication:
-5x + 3x2 + 10qrst = 0

Reorder the terms:
10qrst + -5x + 3x2 = 0

Solving
10qrst + -5x + 3x2 = 0

Solving for variable 'q'.

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

Add '5x' to each side of the equation.
10qrst + -5x + 5x + 3x2 = 0 + 5x

Combine like terms: -5x + 5x = 0
10qrst + 0 + 3x2 = 0 + 5x
10qrst + 3x2 = 0 + 5x
Remove the zero:
10qrst + 3x2 = 5x

Add '-3x2' to each side of the equation.
10qrst + 3x2 + -3x2 = 5x + -3x2

Combine like terms: 3x2 + -3x2 = 0
10qrst + 0 = 5x + -3x2
10qrst = 5x + -3x2

Divide each side by '10rst'.
q = 0.5r-1s-1t-1x + -0.3r-1s-1t-1x2

Simplifying
q = 0.5r-1s-1t-1x + -0.3r-1s-1t-1x2

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