-16t^2+24t+7.5=0

Simple and best practice solution for -16t^2+24t+7.5=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+24t+7.5=0 equation: 


Simplifying
-16t2 + 24t + 7.5 = 0

Reorder the terms:
7.5 + 24t + -16t2 = 0

Solving
7.5 + 24t + -16t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
-0.46875 + -1.5t + t2 = 0

Move the constant term to the right:

Add '0.46875' to each side of the equation.
-0.46875 + -1.5t + 0.46875 + t2 = 0 + 0.46875

Reorder the terms:
-0.46875 + 0.46875 + -1.5t + t2 = 0 + 0.46875

Combine like terms: -0.46875 + 0.46875 = 0.00000
0.00000 + -1.5t + t2 = 0 + 0.46875
-1.5t + t2 = 0 + 0.46875

Combine like terms: 0 + 0.46875 = 0.46875
-1.5t + t2 = 0.46875

The t term is -1.5t.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5t + 0.5625 + t2 = 0.46875 + 0.5625

Reorder the terms:
0.5625 + -1.5t + t2 = 0.46875 + 0.5625

Combine like terms: 0.46875 + 0.5625 = 1.03125
0.5625 + -1.5t + t2 = 1.03125

Factor a perfect square on the left side:
(t + -0.75)(t + -0.75) = 1.03125

Calculate the square root of the right side: 1.015504801

Break this problem into two subproblems by setting 
(t + -0.75) equal to 1.015504801 and -1.015504801.


Subproblem 1
t + -0.75 = 1.015504801

Simplifying
t + -0.75 = 1.015504801

Reorder the terms:
-0.75 + t = 1.015504801

Solving
-0.75 + t = 1.015504801

Solving for variable 't'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + t = 1.015504801 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + t = 1.015504801 + 0.75
t = 1.015504801 + 0.75

Combine like terms: 1.015504801 + 0.75 = 1.765504801
t = 1.765504801

Simplifying
t = 1.765504801


Subproblem 2
t + -0.75 = -1.015504801

Simplifying
t + -0.75 = -1.015504801

Reorder the terms:
-0.75 + t = -1.015504801

Solving
-0.75 + t = -1.015504801

Solving for variable 't'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + t = -1.015504801 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + t = -1.015504801 + 0.75
t = -1.015504801 + 0.75

Combine like terms: -1.015504801 + 0.75 = -0.265504801
t = -0.265504801

Simplifying
t = -0.265504801


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {1.765504801, -0.265504801}

See similar equations:

| 3(1-2)=21 | | 2*x*x+3*x-2=0 | | 2(X-4)-7=5-2X | | q-4.3=8.6 | | X^6+1=x^4+x^2 | | H(t)=-16t^2+60t+40 | | 2y+(-10)=y | | X-8=27-13(X+7) | | 60=-5*(x+5) | | 2(1+3)+5=25 | | 19.95+2.15+0.21n=24.95+0.16n | | 2y^2+4y-2=x | | -2-2x+3x=10 | | cos(x*4)=0 | | x=.035(228)+.4 | | 4b-4=4+4b | | r^2+1=50 | | 5n+10=-25 | | 8m^2-10m=-3 | | 2*x*x-7*x+3=0 | | 3x-3+x=45 | | 5-2x/5=3/5 | | 3x-3+x=4 | | 1/2(1-2)=3 | | 44=2(5y-3) | | 5x^2+18=33x | | (3/4)2 | | -7x+1=-62 | | f(n)=2+3n | | 5x+3=-x+6 | | 8(2n+1)=56 | | -7x+2+x=-4 |

Equations solver categories