2t^2-8t-8=0

Simple and best practice solution for 2t^2-8t-8=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2t^2-8t-8=0 equation: 


Simplifying
2t2 + -8t + -8 = 0

Reorder the terms:
-8 + -8t + 2t2 = 0

Solving
-8 + -8t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -4t + t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -4t + t2)' equal to zero and attempt to solve:

Simplifying
-4 + -4t + t2 = 0

Solving
-4 + -4t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -4t + 4 + t2 = 0 + 4

Reorder the terms:
-4 + 4 + -4t + t2 = 0 + 4

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

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

The t term is -4t.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4t + 4 + t2 = 4 + 4

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

Combine like terms: 4 + 4 = 8
4 + -4t + t2 = 8

Factor a perfect square on the left side:
(t + -2)(t + -2) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(t + -2) equal to 2.828427125 and -2.828427125.


Subproblem 1
t + -2 = 2.828427125

Simplifying
t + -2 = 2.828427125

Reorder the terms:
-2 + t = 2.828427125

Solving
-2 + t = 2.828427125

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + t = 2.828427125 + 2

Combine like terms: -2 + 2 = 0
0 + t = 2.828427125 + 2
t = 2.828427125 + 2

Combine like terms: 2.828427125 + 2 = 4.828427125
t = 4.828427125

Simplifying
t = 4.828427125


Subproblem 2
t + -2 = -2.828427125

Simplifying
t + -2 = -2.828427125

Reorder the terms:
-2 + t = -2.828427125

Solving
-2 + t = -2.828427125

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + t = -2.828427125 + 2

Combine like terms: -2 + 2 = 0
0 + t = -2.828427125 + 2
t = -2.828427125 + 2

Combine like terms: -2.828427125 + 2 = -0.828427125
t = -0.828427125

Simplifying
t = -0.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {4.828427125, -0.828427125}
Solution
t = {4.828427125, -0.828427125}

See similar equations:

| 3b-0.7b=12 | | 2/5r-5=5 | | +2(-9)= | | w=8w-70 | | -4(y+2)=6y-38 | | -5=n/3=0 | | -2(7-y)+12x=44 | | 6s-98=2s+2 | | -8v^2+7v-1=0 | | 3/54x86 | | 6n-9-3n= | | ln(6x)=2.4 | | v+29=5v-51 | | 4n+n-8=4+3 | | 2.5x+1.75y=363 | | -8r=-r^2-3 | | -4mz= | | p/w=21 | | 96=x*32 | | X-131-11x=89 | | -7+(+7)= | | 8h+4=-4h^2 | | 0.2x+4=6 | | -6x-3=9(x-7) | | -3+x^2+-7x=0 | | 2(y-13)-(-4)=14 | | -8m^2+9m-2=0 | | -12(5/6)=(r-2) | | 60n+48= | | 19-4c=-17 | | 1/7(6)= | | x/8-6=32 |

Equations solver categories