(T-1)-(t^3-4t)=

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Solution for (T-1)-(t^3-4t)= equation:


Simplifying
(T + -1) + -1(t3 + -4t) = 0

Reorder the terms:
(-1 + T) + -1(t3 + -4t) = 0

Remove parenthesis around (-1 + T)
-1 + T + -1(t3 + -4t) = 0

Reorder the terms:
-1 + T + -1(-4t + t3) = 0
-1 + T + (-4t * -1 + t3 * -1) = 0
-1 + T + (4t + -1t3) = 0

Solving
-1 + T + 4t + -1t3 = 0

Solving for variable 'T'.

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

Add '1' to each side of the equation.
-1 + T + 4t + 1 + -1t3 = 0 + 1

Reorder the terms:
-1 + 1 + T + 4t + -1t3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + T + 4t + -1t3 = 0 + 1
T + 4t + -1t3 = 0 + 1

Combine like terms: 0 + 1 = 1
T + 4t + -1t3 = 1

Add '-4t' to each side of the equation.
T + 4t + -4t + -1t3 = 1 + -4t

Combine like terms: 4t + -4t = 0
T + 0 + -1t3 = 1 + -4t
T + -1t3 = 1 + -4t

Add 't3' to each side of the equation.
T + -1t3 + t3 = 1 + -4t + t3

Combine like terms: -1t3 + t3 = 0
T + 0 = 1 + -4t + t3
T = 1 + -4t + t3

Simplifying
T = 1 + -4t + t3

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