X^2+9x^2-120x+400=80

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Solution for X^2+9x^2-120x+400=80 equation:


Simplifying
X2 + 9x2 + -120x + 400 = 80

Reorder the terms:
400 + X2 + -120x + 9x2 = 80

Solving
400 + X2 + -120x + 9x2 = 80

Solving for variable 'X'.

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

Add '-400' to each side of the equation.
400 + X2 + -120x + -400 + 9x2 = 80 + -400

Reorder the terms:
400 + -400 + X2 + -120x + 9x2 = 80 + -400

Combine like terms: 400 + -400 = 0
0 + X2 + -120x + 9x2 = 80 + -400
X2 + -120x + 9x2 = 80 + -400

Combine like terms: 80 + -400 = -320
X2 + -120x + 9x2 = -320

Add '120x' to each side of the equation.
X2 + -120x + 120x + 9x2 = -320 + 120x

Combine like terms: -120x + 120x = 0
X2 + 0 + 9x2 = -320 + 120x
X2 + 9x2 = -320 + 120x

Add '-9x2' to each side of the equation.
X2 + 9x2 + -9x2 = -320 + 120x + -9x2

Combine like terms: 9x2 + -9x2 = 0
X2 + 0 = -320 + 120x + -9x2
X2 = -320 + 120x + -9x2

Simplifying
X2 = -320 + 120x + -9x2

Reorder the terms:
320 + X2 + -120x + 9x2 = -320 + 120x + -9x2 + 320 + -120x + 9x2

Reorder the terms:
320 + X2 + -120x + 9x2 = -320 + 320 + 120x + -120x + -9x2 + 9x2

Combine like terms: -320 + 320 = 0
320 + X2 + -120x + 9x2 = 0 + 120x + -120x + -9x2 + 9x2
320 + X2 + -120x + 9x2 = 120x + -120x + -9x2 + 9x2

Combine like terms: 120x + -120x = 0
320 + X2 + -120x + 9x2 = 0 + -9x2 + 9x2
320 + X2 + -120x + 9x2 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
320 + X2 + -120x + 9x2 = 0

The solution to this equation could not be determined.

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