t^2+2t-95=0

Solution for t^2+2t-95=0 equation:

Simplifying
t2 + 2t + -95 = 0

Reorder the terms:
-95 + 2t + t2 = 0

Solving
-95 + 2t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '95' to each side of the equation.
-95 + 2t + 95 + t2 = 0 + 95

Reorder the terms:
-95 + 95 + 2t + t2 = 0 + 95

Combine like terms: -95 + 95 = 0
0 + 2t + t2 = 0 + 95
2t + t2 = 0 + 95

Combine like terms: 0 + 95 = 95
2t + t2 = 95

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 = 95 + 1

Reorder the terms:
1 + 2t + t2 = 95 + 1

Combine like terms: 95 + 1 = 96
1 + 2t + t2 = 96

Factor a perfect square on the left side:
(t + 1)(t + 1) = 96

Calculate the square root of the right side: 9.797958971

Break this problem into two subproblems by setting 
(t + 1) equal to 9.797958971 and -9.797958971.

Subproblem 1
t + 1 = 9.797958971

Simplifying
t + 1 = 9.797958971

Reorder the terms:
1 + t = 9.797958971

Solving
1 + t = 9.797958971

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + t = 9.797958971 + -1

Combine like terms: 1 + -1 = 0
0 + t = 9.797958971 + -1
t = 9.797958971 + -1

Combine like terms: 9.797958971 + -1 = 8.797958971
t = 8.797958971

Simplifying
t = 8.797958971

Subproblem 2
t + 1 = -9.797958971

Simplifying
t + 1 = -9.797958971

Reorder the terms:
1 + t = -9.797958971

Solving
1 + t = -9.797958971

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + t = -9.797958971 + -1

Combine like terms: 1 + -1 = 0
0 + t = -9.797958971 + -1
t = -9.797958971 + -1

Combine like terms: -9.797958971 + -1 = -10.797958971
t = -10.797958971

Simplifying
t = -10.797958971

Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {8.797958971, -10.797958971}