8t*t-40t-96=0

Simple and best practice solution for 8t*t-40t-96=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*t-40t-96=0 equation: 


Simplifying
8t * t + -40t + -96 = 0

Multiply t * t
8t2 + -40t + -96 = 0

Reorder the terms:
-96 + -40t + 8t2 = 0

Solving
-96 + -40t + 8t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-12 + -5t + t2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-12 + -5t + t2)' equal to zero and attempt to solve:

Simplifying
-12 + -5t + t2 = 0

Solving
-12 + -5t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -5t + 12 + t2 = 0 + 12

Reorder the terms:
-12 + 12 + -5t + t2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5t + t2 = 0 + 12
-5t + t2 = 0 + 12

Combine like terms: 0 + 12 = 12
-5t + t2 = 12

The t term is -5t.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5t + 6.25 + t2 = 12 + 6.25

Reorder the terms:
6.25 + -5t + t2 = 12 + 6.25

Combine like terms: 12 + 6.25 = 18.25
6.25 + -5t + t2 = 18.25

Factor a perfect square on the left side:
(t + -2.5)(t + -2.5) = 18.25

Calculate the square root of the right side: 4.272001873

Break this problem into two subproblems by setting 
(t + -2.5) equal to 4.272001873 and -4.272001873.


Subproblem 1
t + -2.5 = 4.272001873

Simplifying
t + -2.5 = 4.272001873

Reorder the terms:
-2.5 + t = 4.272001873

Solving
-2.5 + t = 4.272001873

Solving for variable 't'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + t = 4.272001873 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + t = 4.272001873 + 2.5
t = 4.272001873 + 2.5

Combine like terms: 4.272001873 + 2.5 = 6.772001873
t = 6.772001873

Simplifying
t = 6.772001873


Subproblem 2
t + -2.5 = -4.272001873

Simplifying
t + -2.5 = -4.272001873

Reorder the terms:
-2.5 + t = -4.272001873

Solving
-2.5 + t = -4.272001873

Solving for variable 't'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + t = -4.272001873 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + t = -4.272001873 + 2.5
t = -4.272001873 + 2.5

Combine like terms: -4.272001873 + 2.5 = -1.772001873
t = -1.772001873

Simplifying
t = -1.772001873


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {6.772001873, -1.772001873}
Solution
t = {6.772001873, -1.772001873}

See similar equations:

| -5+x=6x-45 | | -2x*20=2x*4 | | x^3-4x^2-10x=0 | | 16x-(-2)+(6-4x)=124 | | -4(2+5x)=12 | | 10x-14=2(x-9) | | -6c-(-4-3c)=22 | | 20-6y=9 | | -4(-8-3x)=128 | | 28=4(-5+2a) | | -7(-8-5x)=-364 | | x^0.9=(1/2)x | | 21=35-7x | | 8*2y-5(y-2)=120 | | 4a+(-13)-3-9a=45 | | 0.4(x+.7)=.6x-4.2 | | 21-3j=9-3 | | 5+1*10=50 | | 3-1x=-1-3x | | 9+7x=5x-3 | | -1(3x-3)=-9 | | 2+6x=3x+26 | | 4(2)(2)+2.5-3(4)(2)-1=5(4)(2)-7 | | 63-7k=11k+8 | | (1/27)^-1/3 | | -5(m+6)=20 | | 2x-15=4x-3 | | 9x^2-4xy-y-1=0 | | 7+5x=4-2x | | 7^(1/0.5) | | 3y-7=2y-2 | | 7^1/0.5 |

Equations solver categories