X^2+x+x^2+3x=30

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Solution for X^2+x+x^2+3x=30 equation:


Simplifying
X2 + x + x2 + 3x = 30

Reorder the terms:
X2 + x + 3x + x2 = 30

Combine like terms: x + 3x = 4x
X2 + 4x + x2 = 30

Solving
X2 + 4x + x2 = 30

Solving for variable 'X'.

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

Add '-4x' to each side of the equation.
X2 + 4x + -4x + x2 = 30 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + x2 = 30 + -4x
X2 + x2 = 30 + -4x

Add '-1x2' to each side of the equation.
X2 + x2 + -1x2 = 30 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 0 = 30 + -4x + -1x2
X2 = 30 + -4x + -1x2

Simplifying
X2 = 30 + -4x + -1x2

Reorder the terms:
-30 + X2 + 4x + x2 = 30 + -4x + -1x2 + -30 + 4x + x2

Reorder the terms:
-30 + X2 + 4x + x2 = 30 + -30 + -4x + 4x + -1x2 + x2

Combine like terms: 30 + -30 = 0
-30 + X2 + 4x + x2 = 0 + -4x + 4x + -1x2 + x2
-30 + X2 + 4x + x2 = -4x + 4x + -1x2 + x2

Combine like terms: -4x + 4x = 0
-30 + X2 + 4x + x2 = 0 + -1x2 + x2
-30 + X2 + 4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-30 + X2 + 4x + x2 = 0

The solution to this equation could not be determined.

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