16t^2-112t-192=0

Simple and best practice solution for 16t^2-112t-192=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 16t^2-112t-192=0 equation: 


Simplifying
16t2 + -112t + -192 = 0

Reorder the terms:
-192 + -112t + 16t2 = 0

Solving
-192 + -112t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-12 + -7t + t2) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-12 + -7t + t2)' equal to zero and attempt to solve:

Simplifying
-12 + -7t + t2 = 0

Solving
-12 + -7t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -7t + 12 + t2 = 0 + 12

Reorder the terms:
-12 + 12 + -7t + t2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7t + t2 = 0 + 12
-7t + t2 = 0 + 12

Combine like terms: 0 + 12 = 12
-7t + t2 = 12

The t term is -7t.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7t + 12.25 + t2 = 12 + 12.25

Reorder the terms:
12.25 + -7t + t2 = 12 + 12.25

Combine like terms: 12 + 12.25 = 24.25
12.25 + -7t + t2 = 24.25

Factor a perfect square on the left side:
(t + -3.5)(t + -3.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(t + -3.5) equal to 4.924428901 and -4.924428901.


Subproblem 1
t + -3.5 = 4.924428901

Simplifying
t + -3.5 = 4.924428901

Reorder the terms:
-3.5 + t = 4.924428901

Solving
-3.5 + t = 4.924428901

Solving for variable 't'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + t = 4.924428901 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + t = 4.924428901 + 3.5
t = 4.924428901 + 3.5

Combine like terms: 4.924428901 + 3.5 = 8.424428901
t = 8.424428901

Simplifying
t = 8.424428901


Subproblem 2
t + -3.5 = -4.924428901

Simplifying
t + -3.5 = -4.924428901

Reorder the terms:
-3.5 + t = -4.924428901

Solving
-3.5 + t = -4.924428901

Solving for variable 't'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + t = -4.924428901 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + t = -4.924428901 + 3.5
t = -4.924428901 + 3.5

Combine like terms: -4.924428901 + 3.5 = -1.424428901
t = -1.424428901

Simplifying
t = -1.424428901


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {8.424428901, -1.424428901}
Solution
t = {8.424428901, -1.424428901}

See similar equations:

| 3x-9y=1 | | -2/7(2x+6)=3/28x-15 | | 1/6*40= | | 3x+12/5x-45 | | h=-16t^2+56t+5 | | -40/-8= | | f(x)=2x^3+12x^6+16x | | m+3m+6=4m-9+15 | | 13x^2-11x+1=0 | | 10(-9)= | | y^3+8y^2=20y | | -9(x+9)+x=3(-9-x) | | 25=5x-10 | | -5t^2+40t+3=0 | | 12/8=(5+x)/(x-3) | | -5(-7)(10)= | | 7(u-2)-1=-5(-3+5)-2u | | -8/8-1=-2 | | 40/-4= | | 3x^2+(x-1)=4 | | 3x+4/5+x+17/4=11 | | -3.28=8(1.5y-.5) | | -3d/-4+5=11 | | 3s^2=12s | | 12(4)= | | 11.17=2.49+1.4a | | 16t^2-96t+80=0 | | -22/-11= | | m/2=-15 | | 7-d=1.3 | | 11.17=2.49-1.24a | | 10(-4)= |

Equations solver categories