8t^2-2t-2=0

Simple and best practice solution for 8t^2-2t-2=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 8t^2-2t-2=0 equation: 


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

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

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

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1t + 4t2) = 0

Ignore the factor 2.

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

Simplifying
-1 + -1t + 4t2 = 0

Solving
-1 + -1t + 4t2 = 0

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

Divide each side by '4'.
-0.25 + -0.25t + t2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -0.25t + 0.25 + t2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -0.25t + t2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -0.25t + t2 = 0 + 0.25
-0.25t + t2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-0.25t + t2 = 0.25

The t term is -0.25t.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25t + 0.015625 + t2 = 0.25 + 0.015625

Reorder the terms:
0.015625 + -0.25t + t2 = 0.25 + 0.015625

Combine like terms: 0.25 + 0.015625 = 0.265625
0.015625 + -0.25t + t2 = 0.265625

Factor a perfect square on the left side:
(t + -0.125)(t + -0.125) = 0.265625

Calculate the square root of the right side: 0.515388203

Break this problem into two subproblems by setting 
(t + -0.125) equal to 0.515388203 and -0.515388203.


Subproblem 1
t + -0.125 = 0.515388203

Simplifying
t + -0.125 = 0.515388203

Reorder the terms:
-0.125 + t = 0.515388203

Solving
-0.125 + t = 0.515388203

Solving for variable 't'.

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

Add '0.125' to each side of the equation.
-0.125 + 0.125 + t = 0.515388203 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + t = 0.515388203 + 0.125
t = 0.515388203 + 0.125

Combine like terms: 0.515388203 + 0.125 = 0.640388203
t = 0.640388203

Simplifying
t = 0.640388203


Subproblem 2
t + -0.125 = -0.515388203

Simplifying
t + -0.125 = -0.515388203

Reorder the terms:
-0.125 + t = -0.515388203

Solving
-0.125 + t = -0.515388203

Solving for variable 't'.

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

Add '0.125' to each side of the equation.
-0.125 + 0.125 + t = -0.515388203 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + t = -0.515388203 + 0.125
t = -0.515388203 + 0.125

Combine like terms: -0.515388203 + 0.125 = -0.390388203
t = -0.390388203

Simplifying
t = -0.390388203


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.640388203, -0.390388203}
Solution
t = {0.640388203, -0.390388203}

See similar equations:

| 11-2m-n+5+-m-3n+8= | | 14(x-2)=84 | | -5v^2-2v+4=0 | | 9h^2+9h+2=0 | | -6(-4x+3)=54 | | u^2-8u-7=0 | | b-15=-29 | | -8d^2-7d=0 | | -8x+3-21= | | 48+x=396 | | 5x+2y=500 | | -7p^2+p+5=0 | | n-11=-5 | | 8w^2+3w=0 | | -y^2-6y+3=0 | | 6x+3+10x-5+7.5x=180 | | 5x-3(x-7)=4-(x+7) | | 3(1.4)+2(1.4)=7 | | 17-13n=4 | | 1x-2y+2=0 | | 4f^2+5f-4=0 | | A+17=304 | | 3+.5a(4a+8)=9-2a | | 0.99x+10=1.49x | | 7w^2(2w+3w^5)=0 | | t-2w=24 | | t-2w=2 | | 12g=12(66.6g-1)+11 | | y-0=5(x-3) | | 7w^2(2w+3w^5)=1 | | 5t+4t=0 | | 523+x=423 |

Equations solver categories