t(t+3)=3t^2+10

Solution for t(t+3)=3t^2+10 equation:

Simplifying
t(t + 3) = 3t2 + 10

Reorder the terms:
t(3 + t) = 3t2 + 10
(3 * t + t * t) = 3t2 + 10
(3t + t2) = 3t2 + 10

Reorder the terms:
3t + t2 = 10 + 3t2

Solving
3t + t2 = 10 + 3t2

Solving for variable 't'.

Reorder the terms:
-10 + 3t + t2 + -3t2 = 10 + 3t2 + -10 + -3t2

Combine like terms: t2 + -3t2 = -2t2
-10 + 3t + -2t2 = 10 + 3t2 + -10 + -3t2

Reorder the terms:
-10 + 3t + -2t2 = 10 + -10 + 3t2 + -3t2

Combine like terms: 10 + -10 = 0
-10 + 3t + -2t2 = 0 + 3t2 + -3t2
-10 + 3t + -2t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-10 + 3t + -2t2 = 0

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

Divide each side by '-2'.
5 + -1.5t + t2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1.5t + -5 + t2 = 0 + -5

Reorder the terms:
5 + -5 + -1.5t + t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1.5t + t2 = 0 + -5
-1.5t + t2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1.5t + t2 = -5

The t term is -1.5t.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5t + 0.5625 + t2 = -5 + 0.5625

Reorder the terms:
0.5625 + -1.5t + t2 = -5 + 0.5625

Combine like terms: -5 + 0.5625 = -4.4375
0.5625 + -1.5t + t2 = -4.4375

Factor a perfect square on the left side:
(t + -0.75)(t + -0.75) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.