16t^2-36t-200=0

Simple and best practice solution for 16t^2-36t-200=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 16t^2-36t-200=0 equation: 


Simplifying
16t2 + -36t + -200 = 0

Reorder the terms:
-200 + -36t + 16t2 = 0

Solving
-200 + -36t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-50 + -9t + 4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-50 + -9t + 4t2)' equal to zero and attempt to solve:

Simplifying
-50 + -9t + 4t2 = 0

Solving
-50 + -9t + 4t2 = 0

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

Divide each side by '4'.
-12.5 + -2.25t + t2 = 0

Move the constant term to the right:

Add '12.5' to each side of the equation.
-12.5 + -2.25t + 12.5 + t2 = 0 + 12.5

Reorder the terms:
-12.5 + 12.5 + -2.25t + t2 = 0 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + -2.25t + t2 = 0 + 12.5
-2.25t + t2 = 0 + 12.5

Combine like terms: 0 + 12.5 = 12.5
-2.25t + t2 = 12.5

The t term is -2.25t.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25t + 1.265625 + t2 = 12.5 + 1.265625

Reorder the terms:
1.265625 + -2.25t + t2 = 12.5 + 1.265625

Combine like terms: 12.5 + 1.265625 = 13.765625
1.265625 + -2.25t + t2 = 13.765625

Factor a perfect square on the left side:
(t + -1.125)(t + -1.125) = 13.765625

Calculate the square root of the right side: 3.71020552

Break this problem into two subproblems by setting 
(t + -1.125) equal to 3.71020552 and -3.71020552.


Subproblem 1
t + -1.125 = 3.71020552

Simplifying
t + -1.125 = 3.71020552

Reorder the terms:
-1.125 + t = 3.71020552

Solving
-1.125 + t = 3.71020552

Solving for variable 't'.

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + t = 3.71020552 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + t = 3.71020552 + 1.125
t = 3.71020552 + 1.125

Combine like terms: 3.71020552 + 1.125 = 4.83520552
t = 4.83520552

Simplifying
t = 4.83520552


Subproblem 2
t + -1.125 = -3.71020552

Simplifying
t + -1.125 = -3.71020552

Reorder the terms:
-1.125 + t = -3.71020552

Solving
-1.125 + t = -3.71020552

Solving for variable 't'.

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + t = -3.71020552 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + t = -3.71020552 + 1.125
t = -3.71020552 + 1.125

Combine like terms: -3.71020552 + 1.125 = -2.58520552
t = -2.58520552

Simplifying
t = -2.58520552


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {4.83520552, -2.58520552}
Solution
t = {4.83520552, -2.58520552}

See similar equations:

| -e+2=7 | | 5y-7-3y=3y-3 | | 2x-11=2sqrt(36-x^2) | | 4/5xequals16 | | (1+4)(6+2x)=15-7.5(x+1) | | 8x-2x=3x+646-x | | 3c-5=-5 | | -3y-3=33 | | 3(11x-50)=4-5(x+6) | | 2b-(-2)=8 | | -3c-6=-3 | | -4.8=6.5 | | 7-17x=65+12x | | 4.2x=25.62 | | 6x+11-3x=-7x-20+x | | g(n)=3n-1 | | 2a-(-2)=-10 | | 4-2n=13 | | 7q/q | | 20=-0.25t^2+5t | | 2c-(-9)=29 | | 7x-25=25 | | 3z-7=-37 | | 9x-7x+3x-10=90 | | 751=x-0.2x | | 7(x+4.9)=57 | | R=s+4t | | -8(m+10)=-48 | | -1-p=8 | | 7y+7=5(y-2) | | 5k+2=2k+11 | | -32=-6+6n |

Equations solver categories