-16t^2+100t+20=0

Simple and best practice solution for -16t^2+100t+20=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+100t+20=0 equation: 


Simplifying
-16t2 + 100t + 20 = 0

Reorder the terms:
20 + 100t + -16t2 = 0

Solving
20 + 100t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 25t + -4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + 25t + -4t2)' equal to zero and attempt to solve:

Simplifying
5 + 25t + -4t2 = 0

Solving
5 + 25t + -4t2 = 0

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

Divide each side by '-4'.
-1.25 + -6.25t + t2 = 0

Move the constant term to the right:

Add '1.25' to each side of the equation.
-1.25 + -6.25t + 1.25 + t2 = 0 + 1.25

Reorder the terms:
-1.25 + 1.25 + -6.25t + t2 = 0 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + -6.25t + t2 = 0 + 1.25
-6.25t + t2 = 0 + 1.25

Combine like terms: 0 + 1.25 = 1.25
-6.25t + t2 = 1.25

The t term is -6.25t.  Take half its coefficient (-3.125).
Square it (9.765625) and add it to both sides.

Add '9.765625' to each side of the equation.
-6.25t + 9.765625 + t2 = 1.25 + 9.765625

Reorder the terms:
9.765625 + -6.25t + t2 = 1.25 + 9.765625

Combine like terms: 1.25 + 9.765625 = 11.015625
9.765625 + -6.25t + t2 = 11.015625

Factor a perfect square on the left side:
(t + -3.125)(t + -3.125) = 11.015625

Calculate the square root of the right side: 3.318979512

Break this problem into two subproblems by setting 
(t + -3.125) equal to 3.318979512 and -3.318979512.


Subproblem 1
t + -3.125 = 3.318979512

Simplifying
t + -3.125 = 3.318979512

Reorder the terms:
-3.125 + t = 3.318979512

Solving
-3.125 + t = 3.318979512

Solving for variable 't'.

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

Add '3.125' to each side of the equation.
-3.125 + 3.125 + t = 3.318979512 + 3.125

Combine like terms: -3.125 + 3.125 = 0.000
0.000 + t = 3.318979512 + 3.125
t = 3.318979512 + 3.125

Combine like terms: 3.318979512 + 3.125 = 6.443979512
t = 6.443979512

Simplifying
t = 6.443979512


Subproblem 2
t + -3.125 = -3.318979512

Simplifying
t + -3.125 = -3.318979512

Reorder the terms:
-3.125 + t = -3.318979512

Solving
-3.125 + t = -3.318979512

Solving for variable 't'.

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

Add '3.125' to each side of the equation.
-3.125 + 3.125 + t = -3.318979512 + 3.125

Combine like terms: -3.125 + 3.125 = 0.000
0.000 + t = -3.318979512 + 3.125
t = -3.318979512 + 3.125

Combine like terms: -3.318979512 + 3.125 = -0.193979512
t = -0.193979512

Simplifying
t = -0.193979512


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {6.443979512, -0.193979512}
Solution
t = {6.443979512, -0.193979512}

See similar equations:

| -21=2x-1 | | -21=-3x+14 | | f(x)=f(x) | | -7q=-6q-4 | | 15-m=19 | | j-7=28 | | 2(f+2)=20 | | 4(x-3)-64(-x+3)-3(12x-4)=96 | | m-2/3=1/3 | | 97=n+84 | | 2m-3/m=1 | | 9.4j-11.32=9.9j-9.82 | | 3x+25=2.5x | | -3-8y=-17-12y+2y | | 7t-2/8=3t-4=5 | | (99999999999999999999*999999999999999)(99999999999999-99999999999999999)=89898.1981119818 | | -20-12c=20-14c | | -4.5x+x^2=12 | | 8(-2h-5)+32=20 | | -2-5u=-3u | | -9-8h=-9h | | 2(-.5+1.25y)+5y=14 | | 9f=gh+mn | | -2+3t=8+4t | | 7-2+1=6 | | 55=4+3(15+2) | | -3(4r-1)-5=22 | | 2x^6/8x^15 | | 8+7d-5=10d-6 | | x-1/20=3/4 | | 3x+1=6x+11 | | a/2.78=9 |

Equations solver categories