-16t^2+120t+48=0

Simple and best practice solution for -16t^2+120t+48=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+120t+48=0 equation: 


Simplifying
-16t2 + 120t + 48 = 0

Reorder the terms:
48 + 120t + -16t2 = 0

Solving
48 + 120t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(6 + 15t + -2t2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(6 + 15t + -2t2)' equal to zero and attempt to solve:

Simplifying
6 + 15t + -2t2 = 0

Solving
6 + 15t + -2t2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-3 + -7.5t + t2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + -7.5t + 3 + t2 = 0 + 3

Reorder the terms:
-3 + 3 + -7.5t + t2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7.5t + t2 = 0 + 3
-7.5t + t2 = 0 + 3

Combine like terms: 0 + 3 = 3
-7.5t + t2 = 3

The t term is -7.5t.  Take half its coefficient (-3.75).
Square it (14.0625) and add it to both sides.

Add '14.0625' to each side of the equation.
-7.5t + 14.0625 + t2 = 3 + 14.0625

Reorder the terms:
14.0625 + -7.5t + t2 = 3 + 14.0625

Combine like terms: 3 + 14.0625 = 17.0625
14.0625 + -7.5t + t2 = 17.0625

Factor a perfect square on the left side:
(t + -3.75)(t + -3.75) = 17.0625

Calculate the square root of the right side: 4.13067791

Break this problem into two subproblems by setting 
(t + -3.75) equal to 4.13067791 and -4.13067791.


Subproblem 1
t + -3.75 = 4.13067791

Simplifying
t + -3.75 = 4.13067791

Reorder the terms:
-3.75 + t = 4.13067791

Solving
-3.75 + t = 4.13067791

Solving for variable 't'.

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

Add '3.75' to each side of the equation.
-3.75 + 3.75 + t = 4.13067791 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + t = 4.13067791 + 3.75
t = 4.13067791 + 3.75

Combine like terms: 4.13067791 + 3.75 = 7.88067791
t = 7.88067791

Simplifying
t = 7.88067791


Subproblem 2
t + -3.75 = -4.13067791

Simplifying
t + -3.75 = -4.13067791

Reorder the terms:
-3.75 + t = -4.13067791

Solving
-3.75 + t = -4.13067791

Solving for variable 't'.

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

Add '3.75' to each side of the equation.
-3.75 + 3.75 + t = -4.13067791 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + t = -4.13067791 + 3.75
t = -4.13067791 + 3.75

Combine like terms: -4.13067791 + 3.75 = -0.38067791
t = -0.38067791

Simplifying
t = -0.38067791


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {7.88067791, -0.38067791}
Solution
t = {7.88067791, -0.38067791}

See similar equations:

| h(t)=-16t^2+120t+48 | | -7x+3y=-71 | | -16t^2+120t+48=h(t) | | 9/10×1/3= | | 1(6-(5+z)-z)+3(5+z)+z=10 | | 4x-12=25 | | x^2=(.0081/.0009) | | 24-4y-4z+2y+2z=14 | | 3(5+4)-2*-3= | | x+(x+5)=11 | | 9(x)+8=-31 | | -3+1+(-2x)=x-3+(x+2) | | (t-5)=4 | | 24-2y-2z=14 | | x^4+4x^3-16x-12=0 | | x^2+0.9x+0.14=0 | | -2y-2z=14 | | 5x^2-12x=0curve | | (12a+7b)+(2a-9b)= | | 9-(2x-4)=7-3x | | x^2-17xb+72b^2=0 | | (15x+5)=(11x+33) | | x^2-240x-18000=0 | | -0.0072x^4-0.28x^2+5.4574=y | | 7(z-8)=-1 | | 35+.40x=20+.55x | | -9f=37 | | 15x+12=9x+66 | | 37f-(-9f)= | | 8-9p+3q+r-9pqr= | | x^2+xa-42a^2=0 | | -7x-12=-14x-26 |

Equations solver categories