(X^2+5x-24)+(-x^2-4x+9)=0

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Solution for (X^2+5x-24)+(-x^2-4x+9)=0 equation:


Simplifying
(X2 + 5x + -24) + (-1x2 + -4x + 9) = 0

Reorder the terms:
(-24 + X2 + 5x) + (-1x2 + -4x + 9) = 0

Remove parenthesis around (-24 + X2 + 5x)
-24 + X2 + 5x + (-1x2 + -4x + 9) = 0

Reorder the terms:
-24 + X2 + 5x + (9 + -4x + -1x2) = 0

Remove parenthesis around (9 + -4x + -1x2)
-24 + X2 + 5x + 9 + -4x + -1x2 = 0

Reorder the terms:
-24 + 9 + X2 + 5x + -4x + -1x2 = 0

Combine like terms: -24 + 9 = -15
-15 + X2 + 5x + -4x + -1x2 = 0

Combine like terms: 5x + -4x = 1x
-15 + X2 + 1x + -1x2 = 0

Solving
-15 + X2 + 1x + -1x2 = 0

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + X2 + 1x + 15 + -1x2 = 0 + 15

Reorder the terms:
-15 + 15 + X2 + 1x + -1x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + X2 + 1x + -1x2 = 0 + 15
X2 + 1x + -1x2 = 0 + 15

Combine like terms: 0 + 15 = 15
X2 + 1x + -1x2 = 15

Add '-1x' to each side of the equation.
X2 + 1x + -1x + -1x2 = 15 + -1x

Combine like terms: 1x + -1x = 0
X2 + 0 + -1x2 = 15 + -1x
X2 + -1x2 = 15 + -1x

Add 'x2' to each side of the equation.
X2 + -1x2 + x2 = 15 + -1x + x2

Combine like terms: -1x2 + x2 = 0
X2 + 0 = 15 + -1x + x2
X2 = 15 + -1x + x2

Simplifying
X2 = 15 + -1x + x2

Reorder the terms:
-15 + X2 + x + -1x2 = 15 + -1x + x2 + -15 + x + -1x2

Reorder the terms:
-15 + X2 + x + -1x2 = 15 + -15 + -1x + x + x2 + -1x2

Combine like terms: 15 + -15 = 0
-15 + X2 + x + -1x2 = 0 + -1x + x + x2 + -1x2
-15 + X2 + x + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
-15 + X2 + x + -1x2 = 0 + x2 + -1x2
-15 + X2 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + X2 + x + -1x2 = 0

The solution to this equation could not be determined.

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