(X^2+3x-12)+(5x^2-8x+7)=0

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Solution for (X^2+3x-12)+(5x^2-8x+7)=0 equation: 


Simplifying
(X2 + 3x + -12) + (5x2 + -8x + 7) = 0

Reorder the terms:
(-12 + X2 + 3x) + (5x2 + -8x + 7) = 0

Remove parenthesis around (-12 + X2 + 3x)
-12 + X2 + 3x + (5x2 + -8x + 7) = 0

Reorder the terms:
-12 + X2 + 3x + (7 + -8x + 5x2) = 0

Remove parenthesis around (7 + -8x + 5x2)
-12 + X2 + 3x + 7 + -8x + 5x2 = 0

Reorder the terms:
-12 + 7 + X2 + 3x + -8x + 5x2 = 0

Combine like terms: -12 + 7 = -5
-5 + X2 + 3x + -8x + 5x2 = 0

Combine like terms: 3x + -8x = -5x
-5 + X2 + -5x + 5x2 = 0

Solving
-5 + X2 + -5x + 5x2 = 0

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + X2 + -5x + 5 + 5x2 = 0 + 5

Reorder the terms:
-5 + 5 + X2 + -5x + 5x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + X2 + -5x + 5x2 = 0 + 5
X2 + -5x + 5x2 = 0 + 5

Combine like terms: 0 + 5 = 5
X2 + -5x + 5x2 = 5

Add '5x' to each side of the equation.
X2 + -5x + 5x + 5x2 = 5 + 5x

Combine like terms: -5x + 5x = 0
X2 + 0 + 5x2 = 5 + 5x
X2 + 5x2 = 5 + 5x

Add '-5x2' to each side of the equation.
X2 + 5x2 + -5x2 = 5 + 5x + -5x2

Combine like terms: 5x2 + -5x2 = 0
X2 + 0 = 5 + 5x + -5x2
X2 = 5 + 5x + -5x2

Simplifying
X2 = 5 + 5x + -5x2

Reorder the terms:
-5 + X2 + -5x + 5x2 = 5 + 5x + -5x2 + -5 + -5x + 5x2

Reorder the terms:
-5 + X2 + -5x + 5x2 = 5 + -5 + 5x + -5x + -5x2 + 5x2

Combine like terms: 5 + -5 = 0
-5 + X2 + -5x + 5x2 = 0 + 5x + -5x + -5x2 + 5x2
-5 + X2 + -5x + 5x2 = 5x + -5x + -5x2 + 5x2

Combine like terms: 5x + -5x = 0
-5 + X2 + -5x + 5x2 = 0 + -5x2 + 5x2
-5 + X2 + -5x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-5 + X2 + -5x + 5x2 = 0

The solution to this equation could not be determined.

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