0=-0.25t^2+5t-17

Simple and best practice solution for 0=-0.25t^2+5t-17 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=-0.25t^2+5t-17 equation:


Simplifying
0 = -0.25t2 + 5t + -17

Reorder the terms:
0 = -17 + 5t + -0.25t2

Solving
0 = -17 + 5t + -0.25t2

Solving for variable 't'.

Combine like terms: 0 + 17 = 17
17 + -5t + 0.25t2 = -17 + 5t + -0.25t2 + 17 + -5t + 0.25t2

Reorder the terms:
17 + -5t + 0.25t2 = -17 + 17 + 5t + -5t + -0.25t2 + 0.25t2

Combine like terms: -17 + 17 = 0
17 + -5t + 0.25t2 = 0 + 5t + -5t + -0.25t2 + 0.25t2
17 + -5t + 0.25t2 = 5t + -5t + -0.25t2 + 0.25t2

Combine like terms: 5t + -5t = 0
17 + -5t + 0.25t2 = 0 + -0.25t2 + 0.25t2
17 + -5t + 0.25t2 = -0.25t2 + 0.25t2

Combine like terms: -0.25t2 + 0.25t2 = 0.00
17 + -5t + 0.25t2 = 0.00

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

Divide each side by '0.25'.
68 + -20t + t2 = 0

Move the constant term to the right:

Add '-68' to each side of the equation.
68 + -20t + -68 + t2 = 0 + -68

Reorder the terms:
68 + -68 + -20t + t2 = 0 + -68

Combine like terms: 68 + -68 = 0
0 + -20t + t2 = 0 + -68
-20t + t2 = 0 + -68

Combine like terms: 0 + -68 = -68
-20t + t2 = -68

The t term is -20t.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20t + 100 + t2 = -68 + 100

Reorder the terms:
100 + -20t + t2 = -68 + 100

Combine like terms: -68 + 100 = 32
100 + -20t + t2 = 32

Factor a perfect square on the left side:
(t + -10)(t + -10) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(t + -10) equal to 5.656854249 and -5.656854249.

Subproblem 1

t + -10 = 5.656854249 Simplifying t + -10 = 5.656854249 Reorder the terms: -10 + t = 5.656854249 Solving -10 + t = 5.656854249 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + t = 5.656854249 + 10 Combine like terms: -10 + 10 = 0 0 + t = 5.656854249 + 10 t = 5.656854249 + 10 Combine like terms: 5.656854249 + 10 = 15.656854249 t = 15.656854249 Simplifying t = 15.656854249

Subproblem 2

t + -10 = -5.656854249 Simplifying t + -10 = -5.656854249 Reorder the terms: -10 + t = -5.656854249 Solving -10 + t = -5.656854249 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + t = -5.656854249 + 10 Combine like terms: -10 + 10 = 0 0 + t = -5.656854249 + 10 t = -5.656854249 + 10 Combine like terms: -5.656854249 + 10 = 4.343145751 t = 4.343145751 Simplifying t = 4.343145751

Solution

The solution to the problem is based on the solutions from the subproblems. t = {15.656854249, 4.343145751}

See similar equations:

| 2(y+6)+7y=-6 | | 6y=-18x-54 | | log[2](3x-1)=8 | | 50x=75(12-x) | | x+x-4+4x=62 | | 2(y+6)+7=-6 | | 1/6s+1/2(s-2)=45/2 | | 25x-5=24+11 | | 0.6x=144 | | 13-467z+578=0 | | 3x+5x+51x= | | -308/8 | | .5(15+6x)+10=12-10x | | -6/5u-7/2=-7/3 | | 9x^2+15x=52 | | Y=15+-1y | | 85+65=18 | | y-6x=-9 | | -4=3v+5 | | -4=6+2v | | 5*9+3= | | 11X+10=X^2 | | 3u+4=7/8u-1 | | 3v-7=-1 | | 4x+y=45 | | -22-2w=4 | | 4*0*5*8= | | -7=4w+5 | | 2(2v-7)=7 | | 7X^2-7Y^2/8Y^2-8X^2 | | 1/6s+1/2(s+2)=45/2 | | 4x-5-x=4 |

Equations solver categories