-5(t^2+2t+10)=0

Solution for -5(t^2+2t+10)=0 equation:

Simplifying
-5(t2 + 2t + 10) = 0

Reorder the terms:
-5(10 + 2t + t2) = 0
(10 * -5 + 2t * -5 + t2 * -5) = 0
(-50 + -10t + -5t2) = 0

Solving
-50 + -10t + -5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(10 + 2t + t2) = 0

Ignore the factor -5.
Subproblem 1
Set the factor '(10 + 2t + t2)' equal to zero and attempt to solve:

Simplifying
10 + 2t + t2 = 0

Solving
10 + 2t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 2t + -10 + t2 = 0 + -10

Reorder the terms:
10 + -10 + 2t + t2 = 0 + -10

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

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

The t term is 2t.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2t + 1 + t2 = -10 + 1

Reorder the terms:
1 + 2t + t2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + 2t + t2 = -9

Factor a perfect square on the left side:
(t + 1)(t + 1) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.