16t^2-72t-10=0

Simple and best practice solution for 16t^2-72t-10=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^2-72t-10=0 equation: 


Simplifying
16t2 + -72t + -10 = 0

Reorder the terms:
-10 + -72t + 16t2 = 0

Solving
-10 + -72t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -36t + 8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -36t + 8t2)' equal to zero and attempt to solve:

Simplifying
-5 + -36t + 8t2 = 0

Solving
-5 + -36t + 8t2 = 0

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

Divide each side by '8'.
-0.625 + -4.5t + t2 = 0

Move the constant term to the right:

Add '0.625' to each side of the equation.
-0.625 + -4.5t + 0.625 + t2 = 0 + 0.625

Reorder the terms:
-0.625 + 0.625 + -4.5t + t2 = 0 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + -4.5t + t2 = 0 + 0.625
-4.5t + t2 = 0 + 0.625

Combine like terms: 0 + 0.625 = 0.625
-4.5t + t2 = 0.625

The t term is -4.5t.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5t + 5.0625 + t2 = 0.625 + 5.0625

Reorder the terms:
5.0625 + -4.5t + t2 = 0.625 + 5.0625

Combine like terms: 0.625 + 5.0625 = 5.6875
5.0625 + -4.5t + t2 = 5.6875

Factor a perfect square on the left side:
(t + -2.25)(t + -2.25) = 5.6875

Calculate the square root of the right side: 2.384848004

Break this problem into two subproblems by setting 
(t + -2.25) equal to 2.384848004 and -2.384848004.


Subproblem 1
t + -2.25 = 2.384848004

Simplifying
t + -2.25 = 2.384848004

Reorder the terms:
-2.25 + t = 2.384848004

Solving
-2.25 + t = 2.384848004

Solving for variable 't'.

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

Add '2.25' to each side of the equation.
-2.25 + 2.25 + t = 2.384848004 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + t = 2.384848004 + 2.25
t = 2.384848004 + 2.25

Combine like terms: 2.384848004 + 2.25 = 4.634848004
t = 4.634848004

Simplifying
t = 4.634848004


Subproblem 2
t + -2.25 = -2.384848004

Simplifying
t + -2.25 = -2.384848004

Reorder the terms:
-2.25 + t = -2.384848004

Solving
-2.25 + t = -2.384848004

Solving for variable 't'.

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

Add '2.25' to each side of the equation.
-2.25 + 2.25 + t = -2.384848004 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + t = -2.384848004 + 2.25
t = -2.384848004 + 2.25

Combine like terms: -2.384848004 + 2.25 = -0.134848004
t = -0.134848004

Simplifying
t = -0.134848004


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {4.634848004, -0.134848004}
Solution
t = {4.634848004, -0.134848004}

See similar equations:

| 49-3/3x=32-1/6x | | 7(y-3)=0 | | 12x-39=57 | | 29+x=90 | | content:///external/file/108327 | | 5x-15-16+4x=4x+5 | | 4X*30=34X | | -6g+79-7=9 | | 6x-37=11+4x | | x+58=124-58-58 | | X+21=78 | | 4(v-3)-8v= | | 33-11c=-11 | | 3x+30.5=122 | | 7e-4=45 | | 16t^2-72-10=0 | | X-7=2x-8 | | (y-6)=-3/2(x-1) | | 5x-20=22-x | | -(x+2)-3x= | | 1.25x=7.70 | | 6x31/3 | | x+70+45=180 | | 5x-21=124 | | 3a/2 | | 4(1-7x)+5(3+5x)=4x-5-5x | | 18x+27y=76.5 | | 7z-9=8z-7 | | 0.8x=68 | | 3/4n-18=4 | | 6=m-7/6 | | 4m+16=40 |

Equations solver categories