0=-16t^2+64t+10

Simple and best practice solution for 0=-16t^2+64t+10 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 0=-16t^2+64t+10 equation: 


Simplifying
0 = -16t2 + 64t + 10

Reorder the terms:
0 = 10 + 64t + -16t2

Solving
0 = 10 + 64t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -10 = -10
-10 + -64t + 16t2 = 10 + 64t + -16t2 + -10 + -64t + 16t2

Reorder the terms:
-10 + -64t + 16t2 = 10 + -10 + 64t + -64t + -16t2 + 16t2

Combine like terms: 10 + -10 = 0
-10 + -64t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2
-10 + -64t + 16t2 = 64t + -64t + -16t2 + 16t2

Combine like terms: 64t + -64t = 0
-10 + -64t + 16t2 = 0 + -16t2 + 16t2
-10 + -64t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-10 + -64t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -32t + 8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -32t + 8t2)' equal to zero and attempt to solve:

Simplifying
-5 + -32t + 8t2 = 0

Solving
-5 + -32t + 8t2 = 0

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

Divide each side by '8'.
-0.625 + -4t + t2 = 0

Move the constant term to the right:

Add '0.625' to each side of the equation.
-0.625 + -4t + 0.625 + t2 = 0 + 0.625

Reorder the terms:
-0.625 + 0.625 + -4t + t2 = 0 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + -4t + t2 = 0 + 0.625
-4t + t2 = 0 + 0.625

Combine like terms: 0 + 0.625 = 0.625
-4t + t2 = 0.625

The t term is -4t.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4t + 4 + t2 = 0.625 + 4

Reorder the terms:
4 + -4t + t2 = 0.625 + 4

Combine like terms: 0.625 + 4 = 4.625
4 + -4t + t2 = 4.625

Factor a perfect square on the left side:
(t + -2)(t + -2) = 4.625

Calculate the square root of the right side: 2.150581317

Break this problem into two subproblems by setting 
(t + -2) equal to 2.150581317 and -2.150581317.


Subproblem 1
t + -2 = 2.150581317

Simplifying
t + -2 = 2.150581317

Reorder the terms:
-2 + t = 2.150581317

Solving
-2 + t = 2.150581317

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + t = 2.150581317 + 2

Combine like terms: -2 + 2 = 0
0 + t = 2.150581317 + 2
t = 2.150581317 + 2

Combine like terms: 2.150581317 + 2 = 4.150581317
t = 4.150581317

Simplifying
t = 4.150581317


Subproblem 2
t + -2 = -2.150581317

Simplifying
t + -2 = -2.150581317

Reorder the terms:
-2 + t = -2.150581317

Solving
-2 + t = -2.150581317

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + t = -2.150581317 + 2

Combine like terms: -2 + 2 = 0
0 + t = -2.150581317 + 2
t = -2.150581317 + 2

Combine like terms: -2.150581317 + 2 = -0.150581317
t = -0.150581317

Simplifying
t = -0.150581317


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {4.150581317, -0.150581317}
Solution
t = {4.150581317, -0.150581317}

See similar equations:

| 6x+2(-3+2)=-7 | | 0.15(x+20)-0.04(x-60)=1.2 | | 15y+10=13y+4 | | 5(-8x-2)+8x=-1 | | -x+2x+24=18 | | 32=-3x-x | | 6x-7w+5x+8y+4y+5w= | | 0=16t^2+64t+10 | | 0=sec(x)tan(x) | | 32=-3x-y | | 0x+4=-7 | | 6x+-6x+4=-7 | | 6x+-6+4=-7 | | 6x-13-4x=-6x+5(1+2x) | | e+6e= | | -8-2(-2)=-2 | | 12+4h= | | 3x-(0.5x+5)=2 | | x^2+1=5x-5 | | Y=3(4)-14 | | 4(m-2)=m-8 | | (-6x-16)/4 | | -5=-75 | | 23x-84=8 | | 3v^2+21v-40=2v | | Y=8(0)-2 | | 120x=100 | | 3=-(v+6) | | .02=1.49 | | 31x-6=-6 | | 24r^2-8=3r^2+53r | | -3y+10+0.9y= |

Equations solver categories