-400=-16t^2+20t

Simple and best practice solution for -400=-16t^2+20t 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 -400=-16t^2+20t equation: 


Simplifying
-400 = -16t2 + 20t

Reorder the terms:
-400 = 20t + -16t2

Solving
-400 = 20t + -16t2

Solving for variable 't'.

Reorder the terms:
-400 + -20t + 16t2 = 20t + -20t + -16t2 + 16t2

Combine like terms: 20t + -20t = 0
-400 + -20t + 16t2 = 0 + -16t2 + 16t2
-400 + -20t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-400 + -20t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-100 + -5t + 4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-100 + -5t + 4t2)' equal to zero and attempt to solve:

Simplifying
-100 + -5t + 4t2 = 0

Solving
-100 + -5t + 4t2 = 0

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

Divide each side by '4'.
-25 + -1.25t + t2 = 0

Move the constant term to the right:

Add '25' to each side of the equation.
-25 + -1.25t + 25 + t2 = 0 + 25

Reorder the terms:
-25 + 25 + -1.25t + t2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1.25t + t2 = 0 + 25
-1.25t + t2 = 0 + 25

Combine like terms: 0 + 25 = 25
-1.25t + t2 = 25

The t term is -1.25t.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25t + 0.390625 + t2 = 25 + 0.390625

Reorder the terms:
0.390625 + -1.25t + t2 = 25 + 0.390625

Combine like terms: 25 + 0.390625 = 25.390625
0.390625 + -1.25t + t2 = 25.390625

Factor a perfect square on the left side:
(t + -0.625)(t + -0.625) = 25.390625

Calculate the square root of the right side: 5.038911093

Break this problem into two subproblems by setting 
(t + -0.625) equal to 5.038911093 and -5.038911093.


Subproblem 1
t + -0.625 = 5.038911093

Simplifying
t + -0.625 = 5.038911093

Reorder the terms:
-0.625 + t = 5.038911093

Solving
-0.625 + t = 5.038911093

Solving for variable 't'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + t = 5.038911093 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + t = 5.038911093 + 0.625
t = 5.038911093 + 0.625

Combine like terms: 5.038911093 + 0.625 = 5.663911093
t = 5.663911093

Simplifying
t = 5.663911093


Subproblem 2
t + -0.625 = -5.038911093

Simplifying
t + -0.625 = -5.038911093

Reorder the terms:
-0.625 + t = -5.038911093

Solving
-0.625 + t = -5.038911093

Solving for variable 't'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + t = -5.038911093 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + t = -5.038911093 + 0.625
t = -5.038911093 + 0.625

Combine like terms: -5.038911093 + 0.625 = -4.413911093
t = -4.413911093

Simplifying
t = -4.413911093


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {5.663911093, -4.413911093}
Solution
t = {5.663911093, -4.413911093}

See similar equations:

| 400=-16t^2+20t | | [8(3-1)-1]-[8-(4-1)]= | | 4y-8=2y+12 | | 5x+1=34 | | -400=-16t^2+20 | | 54+6x-1+5x+17=180 | | 12x+54=12x+54 | | [3-7(4-9)]= | | sexy=x | | Y=sec(2x^3+7x) | | 9p+4q-9(4p-5q)= | | 4/4-3cos^2x= | | 14=14x/16 | | 0.24-0.02(x+2)=-0.05(3-x) | | 4x+7x-(6x+8)= | | 58+47=x | | 3x+5=88 | | f(x)=x^4-6x^3+9x^2+6x-10 | | 6n-1+2=4n-7 | | 3x-1=(x+2) | | -6x/-6=6/-6 | | y=10-4/3x | | 2/13x=4 | | -7(x-2)=5(x+2) | | -8+6(5-8x)=166 | | Y+1=6(x+4) | | -7x-12=x | | -5(-5m+7)-8m=-171 | | 7(7n+6)=91 | | 2x^2+5x=5+3x-2x^2 | | N+.11=2n | | 2x+8i=6-(2y)I |

Equations solver categories