X^2+4x^2+24x+36=576

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Solution for X^2+4x^2+24x+36=576 equation:


Simplifying
X2 + 4x2 + 24x + 36 = 576

Reorder the terms:
36 + X2 + 24x + 4x2 = 576

Solving
36 + X2 + 24x + 4x2 = 576

Solving for variable 'X'.

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

Add '-36' to each side of the equation.
36 + X2 + 24x + -36 + 4x2 = 576 + -36

Reorder the terms:
36 + -36 + X2 + 24x + 4x2 = 576 + -36

Combine like terms: 36 + -36 = 0
0 + X2 + 24x + 4x2 = 576 + -36
X2 + 24x + 4x2 = 576 + -36

Combine like terms: 576 + -36 = 540
X2 + 24x + 4x2 = 540

Add '-24x' to each side of the equation.
X2 + 24x + -24x + 4x2 = 540 + -24x

Combine like terms: 24x + -24x = 0
X2 + 0 + 4x2 = 540 + -24x
X2 + 4x2 = 540 + -24x

Add '-4x2' to each side of the equation.
X2 + 4x2 + -4x2 = 540 + -24x + -4x2

Combine like terms: 4x2 + -4x2 = 0
X2 + 0 = 540 + -24x + -4x2
X2 = 540 + -24x + -4x2

Simplifying
X2 = 540 + -24x + -4x2

Reorder the terms:
-540 + X2 + 24x + 4x2 = 540 + -24x + -4x2 + -540 + 24x + 4x2

Reorder the terms:
-540 + X2 + 24x + 4x2 = 540 + -540 + -24x + 24x + -4x2 + 4x2

Combine like terms: 540 + -540 = 0
-540 + X2 + 24x + 4x2 = 0 + -24x + 24x + -4x2 + 4x2
-540 + X2 + 24x + 4x2 = -24x + 24x + -4x2 + 4x2

Combine like terms: -24x + 24x = 0
-540 + X2 + 24x + 4x2 = 0 + -4x2 + 4x2
-540 + X2 + 24x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-540 + X2 + 24x + 4x2 = 0

The solution to this equation could not be determined.

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