6X^2+82x+120=0

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Solution for 6X^2+82x+120=0 equation:


Simplifying
6X2 + 82x + 120 = 0

Reorder the terms:
120 + 6X2 + 82x = 0

Solving
120 + 6X2 + 82x = 0

Solving for variable 'X'.

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

Add '-120' to each side of the equation.
120 + 6X2 + -120 + 82x = 0 + -120

Reorder the terms:
120 + -120 + 6X2 + 82x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + 6X2 + 82x = 0 + -120
6X2 + 82x = 0 + -120

Combine like terms: 0 + -120 = -120
6X2 + 82x = -120

Add '-82x' to each side of the equation.
6X2 + 82x + -82x = -120 + -82x

Combine like terms: 82x + -82x = 0
6X2 + 0 = -120 + -82x
6X2 = -120 + -82x

Divide each side by '6'.
X2 = -20 + -13.66666667x

Simplifying
X2 = -20 + -13.66666667x

Reorder the terms:
20 + X2 + 13.66666667x = -20 + -13.66666667x + 20 + 13.66666667x

Reorder the terms:
20 + X2 + 13.66666667x = -20 + 20 + -13.66666667x + 13.66666667x

Combine like terms: -20 + 20 = 0
20 + X2 + 13.66666667x = 0 + -13.66666667x + 13.66666667x
20 + X2 + 13.66666667x = -13.66666667x + 13.66666667x

Combine like terms: -13.66666667x + 13.66666667x = 0.00000000
20 + X2 + 13.66666667x = 0.00000000

The solution to this equation could not be determined.

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