(X^2-4x+5)+(-2x^2+7x-10)=0

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Solution for (X^2-4x+5)+(-2x^2+7x-10)=0 equation: 


Simplifying
(X2 + -4x + 5) + (-2x2 + 7x + -10) = 0

Reorder the terms:
(5 + X2 + -4x) + (-2x2 + 7x + -10) = 0

Remove parenthesis around (5 + X2 + -4x)
5 + X2 + -4x + (-2x2 + 7x + -10) = 0

Reorder the terms:
5 + X2 + -4x + (-10 + 7x + -2x2) = 0

Remove parenthesis around (-10 + 7x + -2x2)
5 + X2 + -4x + -10 + 7x + -2x2 = 0

Reorder the terms:
5 + -10 + X2 + -4x + 7x + -2x2 = 0

Combine like terms: 5 + -10 = -5
-5 + X2 + -4x + 7x + -2x2 = 0

Combine like terms: -4x + 7x = 3x
-5 + X2 + 3x + -2x2 = 0

Solving
-5 + X2 + 3x + -2x2 = 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 + 3x + 5 + -2x2 = 0 + 5

Reorder the terms:
-5 + 5 + X2 + 3x + -2x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + X2 + 3x + -2x2 = 0 + 5
X2 + 3x + -2x2 = 0 + 5

Combine like terms: 0 + 5 = 5
X2 + 3x + -2x2 = 5

Add '-3x' to each side of the equation.
X2 + 3x + -3x + -2x2 = 5 + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 + -2x2 = 5 + -3x
X2 + -2x2 = 5 + -3x

Add '2x2' to each side of the equation.
X2 + -2x2 + 2x2 = 5 + -3x + 2x2

Combine like terms: -2x2 + 2x2 = 0
X2 + 0 = 5 + -3x + 2x2
X2 = 5 + -3x + 2x2

Simplifying
X2 = 5 + -3x + 2x2

Reorder the terms:
-5 + X2 + 3x + -2x2 = 5 + -3x + 2x2 + -5 + 3x + -2x2

Reorder the terms:
-5 + X2 + 3x + -2x2 = 5 + -5 + -3x + 3x + 2x2 + -2x2

Combine like terms: 5 + -5 = 0
-5 + X2 + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
-5 + X2 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
-5 + X2 + 3x + -2x2 = 0 + 2x2 + -2x2
-5 + X2 + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + X2 + 3x + -2x2 = 0

The solution to this equation could not be determined.

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