X^2+2x^2-6x+2x=15

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Solution for X^2+2x^2-6x+2x=15 equation:


Simplifying
X2 + 2x2 + -6x + 2x = 15

Reorder the terms:
X2 + -6x + 2x + 2x2 = 15

Combine like terms: -6x + 2x = -4x
X2 + -4x + 2x2 = 15

Solving
X2 + -4x + 2x2 = 15

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 + 2x2 = 15 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + 2x2 = 15 + 4x
X2 + 2x2 = 15 + 4x

Add '-2x2' to each side of the equation.
X2 + 2x2 + -2x2 = 15 + 4x + -2x2

Combine like terms: 2x2 + -2x2 = 0
X2 + 0 = 15 + 4x + -2x2
X2 = 15 + 4x + -2x2

Simplifying
X2 = 15 + 4x + -2x2

Reorder the terms:
-15 + X2 + -4x + 2x2 = 15 + 4x + -2x2 + -15 + -4x + 2x2

Reorder the terms:
-15 + X2 + -4x + 2x2 = 15 + -15 + 4x + -4x + -2x2 + 2x2

Combine like terms: 15 + -15 = 0
-15 + X2 + -4x + 2x2 = 0 + 4x + -4x + -2x2 + 2x2
-15 + X2 + -4x + 2x2 = 4x + -4x + -2x2 + 2x2

Combine like terms: 4x + -4x = 0
-15 + X2 + -4x + 2x2 = 0 + -2x2 + 2x2
-15 + X2 + -4x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-15 + X2 + -4x + 2x2 = 0

The solution to this equation could not be determined.

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