(X^2-120x+900)+(-2x^2+30x)=equation

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Solution for (X^2-120x+900)+(-2x^2+30x)=equation equation: 


Simplifying
(X2 + -120x + 900) + (-2x2 + 30x) = equation

Reorder the terms:
(900 + X2 + -120x) + (-2x2 + 30x) = equation

Remove parenthesis around (900 + X2 + -120x)
900 + X2 + -120x + (-2x2 + 30x) = equation

Reorder the terms:
900 + X2 + -120x + (30x + -2x2) = equation

Remove parenthesis around (30x + -2x2)
900 + X2 + -120x + 30x + -2x2 = equation

Combine like terms: -120x + 30x = -90x
900 + X2 + -90x + -2x2 = equation

Solving
900 + X2 + -90x + -2x2 = aeinoqtu

Solving for variable 'X'.

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

Add '-900' to each side of the equation.
900 + X2 + -90x + -900 + -2x2 = -900 + aeinoqtu

Reorder the terms:
900 + -900 + X2 + -90x + -2x2 = -900 + aeinoqtu

Combine like terms: 900 + -900 = 0
0 + X2 + -90x + -2x2 = -900 + aeinoqtu
X2 + -90x + -2x2 = -900 + aeinoqtu

Add '90x' to each side of the equation.
X2 + -90x + 90x + -2x2 = -900 + aeinoqtu + 90x

Combine like terms: -90x + 90x = 0
X2 + 0 + -2x2 = -900 + aeinoqtu + 90x
X2 + -2x2 = -900 + aeinoqtu + 90x

Add '2x2' to each side of the equation.
X2 + -2x2 + 2x2 = -900 + aeinoqtu + 90x + 2x2

Combine like terms: -2x2 + 2x2 = 0
X2 + 0 = -900 + aeinoqtu + 90x + 2x2
X2 = -900 + aeinoqtu + 90x + 2x2

Simplifying
X2 = -900 + aeinoqtu + 90x + 2x2

Reorder the terms:
900 + X2 + -1aeinoqtu + -90x + -2x2 = -900 + aeinoqtu + 90x + 2x2 + 900 + -1aeinoqtu + -90x + -2x2

Reorder the terms:
900 + X2 + -1aeinoqtu + -90x + -2x2 = -900 + 900 + aeinoqtu + -1aeinoqtu + 90x + -90x + 2x2 + -2x2

Combine like terms: -900 + 900 = 0
900 + X2 + -1aeinoqtu + -90x + -2x2 = 0 + aeinoqtu + -1aeinoqtu + 90x + -90x + 2x2 + -2x2
900 + X2 + -1aeinoqtu + -90x + -2x2 = aeinoqtu + -1aeinoqtu + 90x + -90x + 2x2 + -2x2

Combine like terms: aeinoqtu + -1aeinoqtu = 0
900 + X2 + -1aeinoqtu + -90x + -2x2 = 0 + 90x + -90x + 2x2 + -2x2
900 + X2 + -1aeinoqtu + -90x + -2x2 = 90x + -90x + 2x2 + -2x2

Combine like terms: 90x + -90x = 0
900 + X2 + -1aeinoqtu + -90x + -2x2 = 0 + 2x2 + -2x2
900 + X2 + -1aeinoqtu + -90x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
900 + X2 + -1aeinoqtu + -90x + -2x2 = 0

The solution to this equation could not be determined.

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