16t^2-48t-2=0

Simple and best practice solution for 16t^2-48t-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 16t^2-48t-2=0 equation: 


Simplifying
16t2 + -48t + -2 = 0

Reorder the terms:
-2 + -48t + 16t2 = 0

Solving
-2 + -48t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -24t + 8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -24t + 8t2)' equal to zero and attempt to solve:

Simplifying
-1 + -24t + 8t2 = 0

Solving
-1 + -24t + 8t2 = 0

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

Divide each side by '8'.
-0.125 + -3t + t2 = 0

Move the constant term to the right:

Add '0.125' to each side of the equation.
-0.125 + -3t + 0.125 + t2 = 0 + 0.125

Reorder the terms:
-0.125 + 0.125 + -3t + t2 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + -3t + t2 = 0 + 0.125
-3t + t2 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
-3t + t2 = 0.125

The t term is -3t.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3t + 2.25 + t2 = 0.125 + 2.25

Reorder the terms:
2.25 + -3t + t2 = 0.125 + 2.25

Combine like terms: 0.125 + 2.25 = 2.375
2.25 + -3t + t2 = 2.375

Factor a perfect square on the left side:
(t + -1.5)(t + -1.5) = 2.375

Calculate the square root of the right side: 1.541103501

Break this problem into two subproblems by setting 
(t + -1.5) equal to 1.541103501 and -1.541103501.


Subproblem 1
t + -1.5 = 1.541103501

Simplifying
t + -1.5 = 1.541103501

Reorder the terms:
-1.5 + t = 1.541103501

Solving
-1.5 + t = 1.541103501

Solving for variable 't'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + t = 1.541103501 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + t = 1.541103501 + 1.5
t = 1.541103501 + 1.5

Combine like terms: 1.541103501 + 1.5 = 3.041103501
t = 3.041103501

Simplifying
t = 3.041103501


Subproblem 2
t + -1.5 = -1.541103501

Simplifying
t + -1.5 = -1.541103501

Reorder the terms:
-1.5 + t = -1.541103501

Solving
-1.5 + t = -1.541103501

Solving for variable 't'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + t = -1.541103501 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + t = -1.541103501 + 1.5
t = -1.541103501 + 1.5

Combine like terms: -1.541103501 + 1.5 = -0.041103501
t = -0.041103501

Simplifying
t = -0.041103501


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {3.041103501, -0.041103501}
Solution
t = {3.041103501, -0.041103501}

See similar equations:

| 250+N=280 | | 4(5y-7)=32 | | 7x^3+4x-9=0 | | 2x^2-7x-78=0 | | 7x=17x-4 | | 10000+(0.20y)=y | | y+(2y-3)+(y-7)=12 | | 2(4x-3)=-32 | | 7-9[7-(9y-6)]= | | 135+N=200+20+15 | | 8(z-3)=z+6-2z | | 2/3×3/5= | | 4y+5y-y=13 | | -x+2=-10 | | 8.6=2.1-1.3y | | -3+1+6= | | (x+6)-(3x+1)2=1 | | 3y+6x=10 | | (X+7)(x-17)=0 | | 3+5x=2x+6 | | F(x)=10x^3+13x^2+2x-1 | | 3a+7=2ab-8b | | .15(84)+.15x+.25(78)+.15(72)=82 | | (a+b)+(a-b)i=7+2i | | (.15)84+.15x+(.225)78+(1.5)+72=82 | | 50-w=225 | | b^2-4ac=3 | | 4y-3x=73 | | 42=X-9 | | 2m+38cm= | | 356*839=x | | -14+6+7-8=1+5 |

Equations solver categories