(X^2+2x-3)+(3x^2-2x-8)=0

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Solution for (X^2+2x-3)+(3x^2-2x-8)=0 equation:


Simplifying
(X2 + 2x + -3) + (3x2 + -2x + -8) = 0

Reorder the terms:
(-3 + X2 + 2x) + (3x2 + -2x + -8) = 0

Remove parenthesis around (-3 + X2 + 2x)
-3 + X2 + 2x + (3x2 + -2x + -8) = 0

Reorder the terms:
-3 + X2 + 2x + (-8 + -2x + 3x2) = 0

Remove parenthesis around (-8 + -2x + 3x2)
-3 + X2 + 2x + -8 + -2x + 3x2 = 0

Reorder the terms:
-3 + -8 + X2 + 2x + -2x + 3x2 = 0

Combine like terms: -3 + -8 = -11
-11 + X2 + 2x + -2x + 3x2 = 0

Combine like terms: 2x + -2x = 0
-11 + X2 + 0 + 3x2 = 0
-11 + X2 + 3x2 = 0

Solving
-11 + X2 + 3x2 = 0

Solving for variable 'X'.

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

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

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

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

Combine like terms: 0 + 11 = 11
X2 + 3x2 = 11

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

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

Simplifying
X2 = 11 + -3x2

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

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

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

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

The solution to this equation could not be determined.

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