(X^2-3x+5)-(-4x^2+8x+9)=0

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Solution for (X^2-3x+5)-(-4x^2+8x+9)=0 equation: 


Simplifying
(X2 + -3x + 5) + -1(-4x2 + 8x + 9) = 0

Reorder the terms:
(5 + X2 + -3x) + -1(-4x2 + 8x + 9) = 0

Remove parenthesis around (5 + X2 + -3x)
5 + X2 + -3x + -1(-4x2 + 8x + 9) = 0

Reorder the terms:
5 + X2 + -3x + -1(9 + 8x + -4x2) = 0
5 + X2 + -3x + (9 * -1 + 8x * -1 + -4x2 * -1) = 0
5 + X2 + -3x + (-9 + -8x + 4x2) = 0

Reorder the terms:
5 + -9 + X2 + -3x + -8x + 4x2 = 0

Combine like terms: 5 + -9 = -4
-4 + X2 + -3x + -8x + 4x2 = 0

Combine like terms: -3x + -8x = -11x
-4 + X2 + -11x + 4x2 = 0

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

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

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

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

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

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

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

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

Simplifying
X2 = 4 + 11x + -4x2

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

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

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

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

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

The solution to this equation could not be determined.

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