sqrt(2x+5)-x^2-5x-3=0

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Solution for sqrt(2x+5)-x^2-5x-3=0 equation:


Simplifying
sqrt(2x + 5) + -1x2 + -5x + -3 = 0

Reorder the terms:
qrst(5 + 2x) + -1x2 + -5x + -3 = 0
(5 * qrst + 2x * qrst) + -1x2 + -5x + -3 = 0
(5qrst + 2qrstx) + -1x2 + -5x + -3 = 0

Reorder the terms:
-3 + 5qrst + 2qrstx + -5x + -1x2 = 0

Solving
-3 + 5qrst + 2qrstx + -5x + -1x2 = 0

Solving for variable 'q'.

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

Add '3' to each side of the equation.
-3 + 5qrst + 2qrstx + -5x + 3 + -1x2 = 0 + 3

Reorder the terms:
-3 + 3 + 5qrst + 2qrstx + -5x + -1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5qrst + 2qrstx + -5x + -1x2 = 0 + 3
5qrst + 2qrstx + -5x + -1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
5qrst + 2qrstx + -5x + -1x2 = 3

Add '5x' to each side of the equation.
5qrst + 2qrstx + -5x + 5x + -1x2 = 3 + 5x

Combine like terms: -5x + 5x = 0
5qrst + 2qrstx + 0 + -1x2 = 3 + 5x
5qrst + 2qrstx + -1x2 = 3 + 5x

Add 'x2' to each side of the equation.
5qrst + 2qrstx + -1x2 + x2 = 3 + 5x + x2

Combine like terms: -1x2 + x2 = 0
5qrst + 2qrstx + 0 = 3 + 5x + x2
5qrst + 2qrstx = 3 + 5x + x2

Reorder the terms:
-3 + 5qrst + 2qrstx + -5x + -1x2 = 3 + 5x + x2 + -3 + -5x + -1x2

Reorder the terms:
-3 + 5qrst + 2qrstx + -5x + -1x2 = 3 + -3 + 5x + -5x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + 5qrst + 2qrstx + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
-3 + 5qrst + 2qrstx + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-3 + 5qrst + 2qrstx + -5x + -1x2 = 0 + x2 + -1x2
-3 + 5qrst + 2qrstx + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 5qrst + 2qrstx + -5x + -1x2 = 0

The solution to this equation could not be determined.

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