(X^2-x+5)+(-3x^2+12x-9)=

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Solution for (X^2-x+5)+(-3x^2+12x-9)= equation:


Simplifying
(X2 + -1x + 5) + (-3x2 + 12x + -9) = 0

Reorder the terms:
(5 + X2 + -1x) + (-3x2 + 12x + -9) = 0

Remove parenthesis around (5 + X2 + -1x)
5 + X2 + -1x + (-3x2 + 12x + -9) = 0

Reorder the terms:
5 + X2 + -1x + (-9 + 12x + -3x2) = 0

Remove parenthesis around (-9 + 12x + -3x2)
5 + X2 + -1x + -9 + 12x + -3x2 = 0

Reorder the terms:
5 + -9 + X2 + -1x + 12x + -3x2 = 0

Combine like terms: 5 + -9 = -4
-4 + X2 + -1x + 12x + -3x2 = 0

Combine like terms: -1x + 12x = 11x
-4 + X2 + 11x + -3x2 = 0

Solving
-4 + X2 + 11x + -3x2 = 0

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + X2 + 11x + 4 + -3x2 = 0 + 4

Reorder the terms:
-4 + 4 + X2 + 11x + -3x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + X2 + 11x + -3x2 = 0 + 4
X2 + 11x + -3x2 = 0 + 4

Combine like terms: 0 + 4 = 4
X2 + 11x + -3x2 = 4

Add '-11x' to each side of the equation.
X2 + 11x + -11x + -3x2 = 4 + -11x

Combine like terms: 11x + -11x = 0
X2 + 0 + -3x2 = 4 + -11x
X2 + -3x2 = 4 + -11x

Add '3x2' to each side of the equation.
X2 + -3x2 + 3x2 = 4 + -11x + 3x2

Combine like terms: -3x2 + 3x2 = 0
X2 + 0 = 4 + -11x + 3x2
X2 = 4 + -11x + 3x2

Simplifying
X2 = 4 + -11x + 3x2

Reorder the terms:
-4 + X2 + 11x + -3x2 = 4 + -11x + 3x2 + -4 + 11x + -3x2

Reorder the terms:
-4 + X2 + 11x + -3x2 = 4 + -4 + -11x + 11x + 3x2 + -3x2

Combine like terms: 4 + -4 = 0
-4 + X2 + 11x + -3x2 = 0 + -11x + 11x + 3x2 + -3x2
-4 + X2 + 11x + -3x2 = -11x + 11x + 3x2 + -3x2

Combine like terms: -11x + 11x = 0
-4 + X2 + 11x + -3x2 = 0 + 3x2 + -3x2
-4 + X2 + 11x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + X2 + 11x + -3x2 = 0

The solution to this equation could not be determined.

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