X^2+24x+sqr(x^2+24x)=30

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Solution for X^2+24x+sqr(x^2+24x)=30 equation: 


Simplifying
X2 + 24x + sqr(x2 + 24x) = 30

Reorder the terms:
X2 + 24x + qrs(24x + x2) = 30
X2 + 24x + (24x * qrs + x2 * qrs) = 30
X2 + 24x + (24qrsx + qrsx2) = 30

Reorder the terms:
X2 + 24qrsx + qrsx2 + 24x = 30

Solving
X2 + 24qrsx + qrsx2 + 24x = 30

Solving for variable 'X'.

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

Add '-24qrsx' to each side of the equation.
X2 + 24qrsx + qrsx2 + -24qrsx + 24x = 30 + -24qrsx

Reorder the terms:
X2 + 24qrsx + -24qrsx + qrsx2 + 24x = 30 + -24qrsx

Combine like terms: 24qrsx + -24qrsx = 0
X2 + 0 + qrsx2 + 24x = 30 + -24qrsx
X2 + qrsx2 + 24x = 30 + -24qrsx

Add '-1qrsx2' to each side of the equation.
X2 + qrsx2 + -1qrsx2 + 24x = 30 + -24qrsx + -1qrsx2

Combine like terms: qrsx2 + -1qrsx2 = 0
X2 + 0 + 24x = 30 + -24qrsx + -1qrsx2
X2 + 24x = 30 + -24qrsx + -1qrsx2

Add '-24x' to each side of the equation.
X2 + 24x + -24x = 30 + -24qrsx + -1qrsx2 + -24x

Combine like terms: 24x + -24x = 0
X2 + 0 = 30 + -24qrsx + -1qrsx2 + -24x
X2 = 30 + -24qrsx + -1qrsx2 + -24x

Simplifying
X2 = 30 + -24qrsx + -1qrsx2 + -24x

Reorder the terms:
-30 + X2 + 24qrsx + qrsx2 + 24x = 30 + -24qrsx + -1qrsx2 + -24x + -30 + 24qrsx + qrsx2 + 24x

Reorder the terms:
-30 + X2 + 24qrsx + qrsx2 + 24x = 30 + -30 + -24qrsx + 24qrsx + -1qrsx2 + qrsx2 + -24x + 24x

Combine like terms: 30 + -30 = 0
-30 + X2 + 24qrsx + qrsx2 + 24x = 0 + -24qrsx + 24qrsx + -1qrsx2 + qrsx2 + -24x + 24x
-30 + X2 + 24qrsx + qrsx2 + 24x = -24qrsx + 24qrsx + -1qrsx2 + qrsx2 + -24x + 24x

Combine like terms: -24qrsx + 24qrsx = 0
-30 + X2 + 24qrsx + qrsx2 + 24x = 0 + -1qrsx2 + qrsx2 + -24x + 24x
-30 + X2 + 24qrsx + qrsx2 + 24x = -1qrsx2 + qrsx2 + -24x + 24x

Combine like terms: -1qrsx2 + qrsx2 = 0
-30 + X2 + 24qrsx + qrsx2 + 24x = 0 + -24x + 24x
-30 + X2 + 24qrsx + qrsx2 + 24x = -24x + 24x

Combine like terms: -24x + 24x = 0
-30 + X2 + 24qrsx + qrsx2 + 24x = 0

The solution to this equation could not be determined.

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