X^2+2x+10+8x+10+x^2+10+2x+30=360

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Solution for X^2+2x+10+8x+10+x^2+10+2x+30=360 equation:


Simplifying
X2 + 2x + 10 + 8x + 10 + x2 + 10 + 2x + 30 = 360

Reorder the terms:
10 + 10 + 10 + 30 + X2 + 2x + 8x + 2x + x2 = 360

Combine like terms: 10 + 10 = 20
20 + 10 + 30 + X2 + 2x + 8x + 2x + x2 = 360

Combine like terms: 20 + 10 = 30
30 + 30 + X2 + 2x + 8x + 2x + x2 = 360

Combine like terms: 30 + 30 = 60
60 + X2 + 2x + 8x + 2x + x2 = 360

Combine like terms: 2x + 8x = 10x
60 + X2 + 10x + 2x + x2 = 360

Combine like terms: 10x + 2x = 12x
60 + X2 + 12x + x2 = 360

Solving
60 + X2 + 12x + x2 = 360

Solving for variable 'X'.

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

Add '-60' to each side of the equation.
60 + X2 + 12x + -60 + x2 = 360 + -60

Reorder the terms:
60 + -60 + X2 + 12x + x2 = 360 + -60

Combine like terms: 60 + -60 = 0
0 + X2 + 12x + x2 = 360 + -60
X2 + 12x + x2 = 360 + -60

Combine like terms: 360 + -60 = 300
X2 + 12x + x2 = 300

Add '-12x' to each side of the equation.
X2 + 12x + -12x + x2 = 300 + -12x

Combine like terms: 12x + -12x = 0
X2 + 0 + x2 = 300 + -12x
X2 + x2 = 300 + -12x

Add '-1x2' to each side of the equation.
X2 + x2 + -1x2 = 300 + -12x + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 0 = 300 + -12x + -1x2
X2 = 300 + -12x + -1x2

Simplifying
X2 = 300 + -12x + -1x2

Reorder the terms:
-300 + X2 + 12x + x2 = 300 + -12x + -1x2 + -300 + 12x + x2

Reorder the terms:
-300 + X2 + 12x + x2 = 300 + -300 + -12x + 12x + -1x2 + x2

Combine like terms: 300 + -300 = 0
-300 + X2 + 12x + x2 = 0 + -12x + 12x + -1x2 + x2
-300 + X2 + 12x + x2 = -12x + 12x + -1x2 + x2

Combine like terms: -12x + 12x = 0
-300 + X2 + 12x + x2 = 0 + -1x2 + x2
-300 + X2 + 12x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-300 + X2 + 12x + x2 = 0

The solution to this equation could not be determined.

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