188t-16t^2=92

Simple and best practice solution for 188t-16t^2=92 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 188t-16t^2=92 equation:


Simplifying
188t + -16t2 = 92

Solving
188t + -16t2 = 92

Solving for variable 't'.

Reorder the terms:
-92 + 188t + -16t2 = 92 + -92

Combine like terms: 92 + -92 = 0
-92 + 188t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-23 + 47t + -4t2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-23 + 47t + -4t2)' equal to zero and attempt to solve: Simplifying -23 + 47t + -4t2 = 0 Solving -23 + 47t + -4t2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 5.75 + -11.75t + t2 = 0 Move the constant term to the right: Add '-5.75' to each side of the equation. 5.75 + -11.75t + -5.75 + t2 = 0 + -5.75 Reorder the terms: 5.75 + -5.75 + -11.75t + t2 = 0 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + -11.75t + t2 = 0 + -5.75 -11.75t + t2 = 0 + -5.75 Combine like terms: 0 + -5.75 = -5.75 -11.75t + t2 = -5.75 The t term is -11.75t. Take half its coefficient (-5.875). Square it (34.515625) and add it to both sides. Add '34.515625' to each side of the equation. -11.75t + 34.515625 + t2 = -5.75 + 34.515625 Reorder the terms: 34.515625 + -11.75t + t2 = -5.75 + 34.515625 Combine like terms: -5.75 + 34.515625 = 28.765625 34.515625 + -11.75t + t2 = 28.765625 Factor a perfect square on the left side: (t + -5.875)(t + -5.875) = 28.765625 Calculate the square root of the right side: 5.363359488 Break this problem into two subproblems by setting (t + -5.875) equal to 5.363359488 and -5.363359488.

Subproblem 1

t + -5.875 = 5.363359488 Simplifying t + -5.875 = 5.363359488 Reorder the terms: -5.875 + t = 5.363359488 Solving -5.875 + t = 5.363359488 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.875' to each side of the equation. -5.875 + 5.875 + t = 5.363359488 + 5.875 Combine like terms: -5.875 + 5.875 = 0.000 0.000 + t = 5.363359488 + 5.875 t = 5.363359488 + 5.875 Combine like terms: 5.363359488 + 5.875 = 11.238359488 t = 11.238359488 Simplifying t = 11.238359488

Subproblem 2

t + -5.875 = -5.363359488 Simplifying t + -5.875 = -5.363359488 Reorder the terms: -5.875 + t = -5.363359488 Solving -5.875 + t = -5.363359488 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.875' to each side of the equation. -5.875 + 5.875 + t = -5.363359488 + 5.875 Combine like terms: -5.875 + 5.875 = 0.000 0.000 + t = -5.363359488 + 5.875 t = -5.363359488 + 5.875 Combine like terms: -5.363359488 + 5.875 = 0.511640512 t = 0.511640512 Simplifying t = 0.511640512

Solution

The solution to the problem is based on the solutions from the subproblems. t = {11.238359488, 0.511640512}

Solution

t = {11.238359488, 0.511640512}

See similar equations:

| 1.9a-0.9a-1.5=-1.5 | | 0=-4.9t^2+24.5t+2 | | 0.4x+2x=1.25 | | 68-v=176 | | 8z-7z=-9+7 | | 12(x)=32+8(x+1) | | 4.8=0.4x+2 | | 1+7t-5t^2=2 | | 1+7t-5t^2=0 | | 6y=5x+1 | | 11=8-3(x+3) | | 5x+18=7x | | x+203=154 | | 5y-4+y+41=7Y+40-4y | | 11u-4u=21 | | 44-6t-5t^2=0 | | 10.3z-9.3z-5.4=5.5-1.4 | | 1/9= | | -3-8f=-9f | | 5(-3+2x)=5x | | 14(n+2)=42 | | 5+ln(x-5)=4 | | (2x+25)=(3x-15) | | 43/6= | | 6x-2+10=55 | | .5x=-11 | | 156t-16t^2=60 | | 22n-21n-14=-21 | | 2x+24=3(2x+1) | | -8(-10)-7= | | 3(d-8)-5=(9d+2)+1 | | -2y=-48 |

Equations solver categories