4t-2+t*t=6+t*t

Solution for 4t-2+t*t=6+t*t equation:

Simplifying
4t + -2 + t * t = 6 + t * t

Multiply t * t
4t + -2 + t2 = 6 + t * t

Reorder the terms:
-2 + 4t + t2 = 6 + t * t

Multiply t * t
-2 + 4t + t2 = 6 + t2

Add '-1t2' to each side of the equation.
-2 + 4t + t2 + -1t2 = 6 + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-2 + 4t + 0 = 6 + t2 + -1t2
-2 + 4t = 6 + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-2 + 4t = 6 + 0
-2 + 4t = 6

Solving
-2 + 4t = 6

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + 4t = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 4t = 6 + 2
4t = 6 + 2

Combine like terms: 6 + 2 = 8
4t = 8

Divide each side by '4'.
t = 2

Simplifying
t = 2