3X^2+(3t+1)x+t=0

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Solution for 3X^2+(3t+1)x+t=0 equation: 


Simplifying
3X2 + (3t + 1) * x + t = 0

Reorder the terms:
3X2 + (1 + 3t) * x + t = 0

Reorder the terms for easier multiplication:
3X2 + x(1 + 3t) + t = 0
3X2 + (1 * x + 3t * x) + t = 0

Reorder the terms:
3X2 + (3tx + 1x) + t = 0
3X2 + (3tx + 1x) + t = 0

Reorder the terms:
3X2 + t + 3tx + 1x = 0

Solving
3X2 + t + 3tx + 1x = 0

Solving for variable 'X'.

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

Add '-1t' to each side of the equation.
3X2 + t + 3tx + -1t + 1x = 0 + -1t

Reorder the terms:
3X2 + t + -1t + 3tx + 1x = 0 + -1t

Combine like terms: t + -1t = 0
3X2 + 0 + 3tx + 1x = 0 + -1t
3X2 + 3tx + 1x = 0 + -1t
Remove the zero:
3X2 + 3tx + 1x = -1t

Add '-3tx' to each side of the equation.
3X2 + 3tx + -3tx + 1x = -1t + -3tx

Combine like terms: 3tx + -3tx = 0
3X2 + 0 + 1x = -1t + -3tx
3X2 + 1x = -1t + -3tx

Add '-1x' to each side of the equation.
3X2 + 1x + -1x = -1t + -3tx + -1x

Combine like terms: 1x + -1x = 0
3X2 + 0 = -1t + -3tx + -1x
3X2 = -1t + -3tx + -1x

Divide each side by '3'.
X2 = -0.3333333333t + -1tx + -0.3333333333x

Simplifying
X2 = -0.3333333333t + -1tx + -0.3333333333x

Reorder the terms:
X2 + 0.3333333333t + tx + 0.3333333333x = -0.3333333333t + 0.3333333333t + -1tx + tx + -0.3333333333x + 0.3333333333x

Combine like terms: -0.3333333333t + 0.3333333333t = 0.0000000000
X2 + 0.3333333333t + tx + 0.3333333333x = 0.0000000000 + -1tx + tx + -0.3333333333x + 0.3333333333x
X2 + 0.3333333333t + tx + 0.3333333333x = -1tx + tx + -0.3333333333x + 0.3333333333x

Combine like terms: -1tx + tx = 0
X2 + 0.3333333333t + tx + 0.3333333333x = 0 + -0.3333333333x + 0.3333333333x
X2 + 0.3333333333t + tx + 0.3333333333x = -0.3333333333x + 0.3333333333x

Combine like terms: -0.3333333333x + 0.3333333333x = 0.0000000000
X2 + 0.3333333333t + tx + 0.3333333333x = 0.0000000000

The solution to this equation could not be determined.

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