t(t-3)=2(t-9)+2t

Solution for t(t-3)=2(t-9)+2t equation:

Simplifying
t(t + -3) = 2(t + -9) + 2t

Reorder the terms:
t(-3 + t) = 2(t + -9) + 2t
(-3 * t + t * t) = 2(t + -9) + 2t
(-3t + t2) = 2(t + -9) + 2t

Reorder the terms:
-3t + t2 = 2(-9 + t) + 2t
-3t + t2 = (-9 * 2 + t * 2) + 2t
-3t + t2 = (-18 + 2t) + 2t

Combine like terms: 2t + 2t = 4t
-3t + t2 = -18 + 4t

Solving
-3t + t2 = -18 + 4t

Solving for variable 't'.

Reorder the terms:
18 + -3t + -4t + t2 = -18 + 4t + 18 + -4t

Combine like terms: -3t + -4t = -7t
18 + -7t + t2 = -18 + 4t + 18 + -4t

Reorder the terms:
18 + -7t + t2 = -18 + 18 + 4t + -4t

Combine like terms: -18 + 18 = 0
18 + -7t + t2 = 0 + 4t + -4t
18 + -7t + t2 = 4t + -4t

Combine like terms: 4t + -4t = 0
18 + -7t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -7t + -18 + t2 = 0 + -18

Reorder the terms:
18 + -18 + -7t + t2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -7t + t2 = 0 + -18
-7t + t2 = 0 + -18

Combine like terms: 0 + -18 = -18
-7t + t2 = -18

The t term is -7t.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7t + 12.25 + t2 = -18 + 12.25

Reorder the terms:
12.25 + -7t + t2 = -18 + 12.25

Combine like terms: -18 + 12.25 = -5.75
12.25 + -7t + t2 = -5.75

Factor a perfect square on the left side:
(t + -3.5)(t + -3.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.