64t^2+t-16=0

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


Simplifying
64t2 + t + -16 = 0

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

Solving
-16 + t + 64t2 = 0

Solving for variable 't'.

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

Divide each side by '64'.
-0.25 + 0.015625t + t2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + 0.015625t + 0.25 + t2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + 0.015625t + t2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 0.015625t + t2 = 0 + 0.25
0.015625t + t2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
0.015625t + t2 = 0.25

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.015625t + 0.25 + t2 = 0.25 + 0.25

Reorder the terms:
0.25 + 0.015625t + t2 = 0.25 + 0.25

Combine like terms: 0.25 + 0.25 = 0.5
0.25 + 0.015625t + t2 = 0.5

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = 0.5

Calculate the square root of the right side: 0.707106781

Break this problem into two subproblems by setting 
(t + 0.5) equal to 0.707106781 and -0.707106781.


Subproblem 1
t + 0.5 = 0.707106781

Simplifying
t + 0.5 = 0.707106781

Reorder the terms:
0.5 + t = 0.707106781

Solving
0.5 + t = 0.707106781

Solving for variable 't'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + t = 0.707106781 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + t = 0.707106781 + -0.5
t = 0.707106781 + -0.5

Combine like terms: 0.707106781 + -0.5 = 0.207106781
t = 0.207106781

Simplifying
t = 0.207106781


Subproblem 2
t + 0.5 = -0.707106781

Simplifying
t + 0.5 = -0.707106781

Reorder the terms:
0.5 + t = -0.707106781

Solving
0.5 + t = -0.707106781

Solving for variable 't'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + t = -0.707106781 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + t = -0.707106781 + -0.5
t = -0.707106781 + -0.5

Combine like terms: -0.707106781 + -0.5 = -1.207106781
t = -1.207106781

Simplifying
t = -1.207106781


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.207106781, -1.207106781}

See similar equations:

| (x+3)(x+12)=2x | | Y=2x^2-5x-11 | | x-1+6=4 | | -4(-9y+2)+2=-7-6y | | 70x+60y=161000 | | -64=-15-4 | | Y=200+150+50-30 | | 7y+11=2-2y | | 3(x+3)-4x=4 | | 4(2w-1)-3w=7w+24+5w | | 3r-(8-5r)=-6 | | -2(k-3)=-12 | | 23k-3=3k+7 | | 3y+12-7y=-4 | | 6h+100+10=16h-10h+110 | | -5n-2(2n-4)=-6n+1 | | 6x+x=46242 | | u^2+9u+8=0 | | 6h+100+10=16h-1h+110 | | 6p^3+5p^2+p=0 | | -5n-2n(2n-4)=-6n+1 | | -4=2x^2-5x-11 | | -35=7t | | r-92=215 | | 10n+21=25-2n | | 8=n+10 | | 3m-7=5m-9 | | 3m-7=53-9 | | c^2+c-64=0 | | 8-b=2-3b | | 6y=196 | | 4x-6x=12 |

Equations solver categories