t(t+5)=3t^2+9

Solution for t(t+5)=3t^2+9 equation:

Simplifying
t(t + 5) = 3t2 + 9

Reorder the terms:
t(5 + t) = 3t2 + 9
(5 * t + t * t) = 3t2 + 9
(5t + t2) = 3t2 + 9

Reorder the terms:
5t + t2 = 9 + 3t2

Solving
5t + t2 = 9 + 3t2

Solving for variable 't'.

Reorder the terms:
-9 + 5t + t2 + -3t2 = 9 + 3t2 + -9 + -3t2

Combine like terms: t2 + -3t2 = -2t2
-9 + 5t + -2t2 = 9 + 3t2 + -9 + -3t2

Reorder the terms:
-9 + 5t + -2t2 = 9 + -9 + 3t2 + -3t2

Combine like terms: 9 + -9 = 0
-9 + 5t + -2t2 = 0 + 3t2 + -3t2
-9 + 5t + -2t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-9 + 5t + -2t2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
4.5 + -2.5t + t2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -2.5t + -4.5 + t2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -2.5t + t2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2.5t + t2 = 0 + -4.5
-2.5t + t2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-2.5t + t2 = -4.5

The t term is -2.5t.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5t + 1.5625 + t2 = -4.5 + 1.5625

Reorder the terms:
1.5625 + -2.5t + t2 = -4.5 + 1.5625

Combine like terms: -4.5 + 1.5625 = -2.9375
1.5625 + -2.5t + t2 = -2.9375

Factor a perfect square on the left side:
(t + -1.25)(t + -1.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.