8=5+17t-16t^2

Simple and best practice solution for 8=5+17t-16t^2 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 8=5+17t-16t^2 equation:


Simplifying
8 = 5 + 17t + -16t2

Solving
8 = 5 + 17t + -16t2

Solving for variable 't'.

Combine like terms: 8 + -5 = 3
3 + -17t + 16t2 = 5 + 17t + -16t2 + -5 + -17t + 16t2

Reorder the terms:
3 + -17t + 16t2 = 5 + -5 + 17t + -17t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
3 + -17t + 16t2 = 0 + 17t + -17t + -16t2 + 16t2
3 + -17t + 16t2 = 17t + -17t + -16t2 + 16t2

Combine like terms: 17t + -17t = 0
3 + -17t + 16t2 = 0 + -16t2 + 16t2
3 + -17t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
3 + -17t + 16t2 = 0

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

Divide each side by '16'.
0.1875 + -1.0625t + t2 = 0

Move the constant term to the right:

Add '-0.1875' to each side of the equation.
0.1875 + -1.0625t + -0.1875 + t2 = 0 + -0.1875

Reorder the terms:
0.1875 + -0.1875 + -1.0625t + t2 = 0 + -0.1875

Combine like terms: 0.1875 + -0.1875 = 0.0000
0.0000 + -1.0625t + t2 = 0 + -0.1875
-1.0625t + t2 = 0 + -0.1875

Combine like terms: 0 + -0.1875 = -0.1875
-1.0625t + t2 = -0.1875

The t term is -1.0625t.  Take half its coefficient (-0.53125).
Square it (0.2822265625) and add it to both sides.

Add '0.2822265625' to each side of the equation.
-1.0625t + 0.2822265625 + t2 = -0.1875 + 0.2822265625

Reorder the terms:
0.2822265625 + -1.0625t + t2 = -0.1875 + 0.2822265625

Combine like terms: -0.1875 + 0.2822265625 = 0.0947265625
0.2822265625 + -1.0625t + t2 = 0.0947265625

Factor a perfect square on the left side:
(t + -0.53125)(t + -0.53125) = 0.0947265625

Calculate the square root of the right side: 0.307776806

Break this problem into two subproblems by setting 
(t + -0.53125) equal to 0.307776806 and -0.307776806.

Subproblem 1

t + -0.53125 = 0.307776806 Simplifying t + -0.53125 = 0.307776806 Reorder the terms: -0.53125 + t = 0.307776806 Solving -0.53125 + t = 0.307776806 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.53125' to each side of the equation. -0.53125 + 0.53125 + t = 0.307776806 + 0.53125 Combine like terms: -0.53125 + 0.53125 = 0.00000 0.00000 + t = 0.307776806 + 0.53125 t = 0.307776806 + 0.53125 Combine like terms: 0.307776806 + 0.53125 = 0.839026806 t = 0.839026806 Simplifying t = 0.839026806

Subproblem 2

t + -0.53125 = -0.307776806 Simplifying t + -0.53125 = -0.307776806 Reorder the terms: -0.53125 + t = -0.307776806 Solving -0.53125 + t = -0.307776806 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.53125' to each side of the equation. -0.53125 + 0.53125 + t = -0.307776806 + 0.53125 Combine like terms: -0.53125 + 0.53125 = 0.00000 0.00000 + t = -0.307776806 + 0.53125 t = -0.307776806 + 0.53125 Combine like terms: -0.307776806 + 0.53125 = 0.223473194 t = 0.223473194 Simplifying t = 0.223473194

Solution

The solution to the problem is based on the solutions from the subproblems. t = {0.839026806, 0.223473194}

See similar equations:

| 2(12)*5y=10 | | 10-6x-7x=-146 | | 5x+4-4x=-2 | | h=-.05x*x+x+6 | | 22+x=-16 | | 22x=-16 | | Y=(100+.75y)+20+40 | | -9+m=5 | | 58=9-7h | | 9-3(6x-1)=30 | | 4sin^2x-4sinx+1= | | 2(u-8)=8u-22 | | [3-2][y]=[11] | | 9x+2y-30=-50 | | [2-1][x]=[6] | | 5x+6=3x+38 | | 19=17 | | 3(y-10)+3x=-7x-117y | | 4x+6+7x=116 | | 7y+8=6y-5 | | (t-12)(t+2)=t-12 | | 93=4x+4x+5 | | 395x+295y=432000 | | -6r+3+8r=12-4r+15 | | 2x^3+15x^2+36x+9=0 | | 3y+15=4y-4 | | (4y+2)(7-y)=0 | | 4v^2-2=322 | | y=x^5-8x^2+1 | | 54-6t+t=7t+6 | | 3x^3+15x^2+75x=0 | | 3x^3+15x^2+75=0 |

Equations solver categories