x^3+3x^2-4xt-12=0

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Solution for x^3+3x^2-4xt-12=0 equation:


Simplifying
x3 + 3x2 + -4xt + -12 = 0

Reorder the terms:
-12 + -4tx + 3x2 + x3 = 0

Solving
-12 + -4tx + 3x2 + x3 = 0

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + -4tx + 3x2 + 12 + x3 = 0 + 12

Reorder the terms:
-12 + 12 + -4tx + 3x2 + x3 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -4tx + 3x2 + x3 = 0 + 12
-4tx + 3x2 + x3 = 0 + 12

Combine like terms: 0 + 12 = 12
-4tx + 3x2 + x3 = 12

Add '-3x2' to each side of the equation.
-4tx + 3x2 + -3x2 + x3 = 12 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4tx + 0 + x3 = 12 + -3x2
-4tx + x3 = 12 + -3x2

Add '-1x3' to each side of the equation.
-4tx + x3 + -1x3 = 12 + -3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-4tx + 0 = 12 + -3x2 + -1x3
-4tx = 12 + -3x2 + -1x3

Divide each side by '-4x'.
t = -3x-1 + 0.75x + 0.25x2

Simplifying
t = -3x-1 + 0.75x + 0.25x2

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