t^2+4t-1=t^2+2t+2

Solution for t^2+4t-1=t^2+2t+2 equation:

Simplifying
t2 + 4t + -1 = t2 + 2t + 2

Reorder the terms:
-1 + 4t + t2 = t2 + 2t + 2

Reorder the terms:
-1 + 4t + t2 = 2 + 2t + t2

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

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

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

Solving
-1 + 4t = 2 + 2t

Solving for variable 't'.

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

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

Combine like terms: 4t + -2t = 2t
-1 + 2t = 2 + 2t + -2t

Combine like terms: 2t + -2t = 0
-1 + 2t = 2 + 0
-1 + 2t = 2

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

Combine like terms: -1 + 1 = 0
0 + 2t = 2 + 1
2t = 2 + 1

Combine like terms: 2 + 1 = 3
2t = 3

Divide each side by '2'.
t = 1.5

Simplifying
t = 1.5