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

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


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

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

Combine like terms: 10 + 30 = 40
40 + -10 + 10 + X2 + 2x + 2x + 8x + x2 = 360

Combine like terms: 40 + -10 = 30
30 + 10 + X2 + 2x + 2x + 8x + x2 = 360

Combine like terms: 30 + 10 = 40
40 + X2 + 2x + 2x + 8x + x2 = 360

Combine like terms: 2x + 2x = 4x
40 + X2 + 4x + 8x + x2 = 360

Combine like terms: 4x + 8x = 12x
40 + X2 + 12x + x2 = 360

Solving
40 + X2 + 12x + x2 = 360

Solving for variable 'X'.

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

Add '-40' to each side of the equation.
40 + X2 + 12x + -40 + x2 = 360 + -40

Reorder the terms:
40 + -40 + X2 + 12x + x2 = 360 + -40

Combine like terms: 40 + -40 = 0
0 + X2 + 12x + x2 = 360 + -40
X2 + 12x + x2 = 360 + -40

Combine like terms: 360 + -40 = 320
X2 + 12x + x2 = 320

Add '-12x' to each side of the equation.
X2 + 12x + -12x + x2 = 320 + -12x

Combine like terms: 12x + -12x = 0
X2 + 0 + x2 = 320 + -12x
X2 + x2 = 320 + -12x

Add '-1x2' to each side of the equation.
X2 + x2 + -1x2 = 320 + -12x + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 0 = 320 + -12x + -1x2
X2 = 320 + -12x + -1x2

Simplifying
X2 = 320 + -12x + -1x2

Reorder the terms:
-320 + X2 + 12x + x2 = 320 + -12x + -1x2 + -320 + 12x + x2

Reorder the terms:
-320 + X2 + 12x + x2 = 320 + -320 + -12x + 12x + -1x2 + x2

Combine like terms: 320 + -320 = 0
-320 + X2 + 12x + x2 = 0 + -12x + 12x + -1x2 + x2
-320 + X2 + 12x + x2 = -12x + 12x + -1x2 + x2

Combine like terms: -12x + 12x = 0
-320 + X2 + 12x + x2 = 0 + -1x2 + x2
-320 + X2 + 12x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-320 + X2 + 12x + x2 = 0

The solution to this equation could not be determined.

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