(X^2+3x-2)+(5x-6)=y

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Solution for (X^2+3x-2)+(5x-6)=y equation:


Simplifying
(X2 + 3x + -2) + (5x + -6) = y

Reorder the terms:
(-2 + X2 + 3x) + (5x + -6) = y

Remove parenthesis around (-2 + X2 + 3x)
-2 + X2 + 3x + (5x + -6) = y

Reorder the terms:
-2 + X2 + 3x + (-6 + 5x) = y

Remove parenthesis around (-6 + 5x)
-2 + X2 + 3x + -6 + 5x = y

Reorder the terms:
-2 + -6 + X2 + 3x + 5x = y

Combine like terms: -2 + -6 = -8
-8 + X2 + 3x + 5x = y

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

Solving
-8 + X2 + 8x = y

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 + 8 + 8x = 8 + y

Reorder the terms:
-8 + 8 + X2 + 8x = 8 + y

Combine like terms: -8 + 8 = 0
0 + X2 + 8x = 8 + y
X2 + 8x = 8 + y

Add '-8x' to each side of the equation.
X2 + 8x + -8x = 8 + -8x + y

Combine like terms: 8x + -8x = 0
X2 + 0 = 8 + -8x + y
X2 = 8 + -8x + y

Simplifying
X2 = 8 + -8x + y

Reorder the terms:
-8 + X2 + 8x + -1y = 8 + -8x + y + -8 + 8x + -1y

Reorder the terms:
-8 + X2 + 8x + -1y = 8 + -8 + -8x + 8x + y + -1y

Combine like terms: 8 + -8 = 0
-8 + X2 + 8x + -1y = 0 + -8x + 8x + y + -1y
-8 + X2 + 8x + -1y = -8x + 8x + y + -1y

Combine like terms: -8x + 8x = 0
-8 + X2 + 8x + -1y = 0 + y + -1y
-8 + X2 + 8x + -1y = y + -1y

Combine like terms: y + -1y = 0
-8 + X2 + 8x + -1y = 0

The solution to this equation could not be determined.

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