X^2-3x+4+2x^2-x-12=0

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Solution for X^2-3x+4+2x^2-x-12=0 equation:


Simplifying
X2 + -3x + 4 + 2x2 + -1x + -12 = 0

Reorder the terms:
4 + -12 + X2 + -3x + -1x + 2x2 = 0

Combine like terms: 4 + -12 = -8
-8 + X2 + -3x + -1x + 2x2 = 0

Combine like terms: -3x + -1x = -4x
-8 + X2 + -4x + 2x2 = 0

Solving
-8 + X2 + -4x + 2x2 = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + X2 + -4x + 8 + 2x2 = 0 + 8

Reorder the terms:
-8 + 8 + X2 + -4x + 2x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + X2 + -4x + 2x2 = 0 + 8
X2 + -4x + 2x2 = 0 + 8

Combine like terms: 0 + 8 = 8
X2 + -4x + 2x2 = 8

Add '4x' to each side of the equation.
X2 + -4x + 4x + 2x2 = 8 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + 2x2 = 8 + 4x
X2 + 2x2 = 8 + 4x

Add '-2x2' to each side of the equation.
X2 + 2x2 + -2x2 = 8 + 4x + -2x2

Combine like terms: 2x2 + -2x2 = 0
X2 + 0 = 8 + 4x + -2x2
X2 = 8 + 4x + -2x2

Simplifying
X2 = 8 + 4x + -2x2

Reorder the terms:
-8 + X2 + -4x + 2x2 = 8 + 4x + -2x2 + -8 + -4x + 2x2

Reorder the terms:
-8 + X2 + -4x + 2x2 = 8 + -8 + 4x + -4x + -2x2 + 2x2

Combine like terms: 8 + -8 = 0
-8 + X2 + -4x + 2x2 = 0 + 4x + -4x + -2x2 + 2x2
-8 + X2 + -4x + 2x2 = 4x + -4x + -2x2 + 2x2

Combine like terms: 4x + -4x = 0
-8 + X2 + -4x + 2x2 = 0 + -2x2 + 2x2
-8 + X2 + -4x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-8 + X2 + -4x + 2x2 = 0

The solution to this equation could not be determined.

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