-16t^2+45t+2.5=0

Simple and best practice solution for -16t^2+45t+2.5=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+45t+2.5=0 equation: 


Simplifying
-16t2 + 45t + 2.5 = 0

Reorder the terms:
2.5 + 45t + -16t2 = 0

Solving
2.5 + 45t + -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'.
-0.15625 + -2.8125t + t2 = 0

Move the constant term to the right:

Add '0.15625' to each side of the equation.
-0.15625 + -2.8125t + 0.15625 + t2 = 0 + 0.15625

Reorder the terms:
-0.15625 + 0.15625 + -2.8125t + t2 = 0 + 0.15625

Combine like terms: -0.15625 + 0.15625 = 0.00000
0.00000 + -2.8125t + t2 = 0 + 0.15625
-2.8125t + t2 = 0 + 0.15625

Combine like terms: 0 + 0.15625 = 0.15625
-2.8125t + t2 = 0.15625

The t term is -2.8125t.  Take half its coefficient (-1.40625).
Square it (1.977539063) and add it to both sides.

Add '1.977539063' to each side of the equation.
-2.8125t + 1.977539063 + t2 = 0.15625 + 1.977539063

Reorder the terms:
1.977539063 + -2.8125t + t2 = 0.15625 + 1.977539063

Combine like terms: 0.15625 + 1.977539063 = 2.133789063
1.977539063 + -2.8125t + t2 = 2.133789063

Factor a perfect square on the left side:
(t + -1.40625)(t + -1.40625) = 2.133789063

Calculate the square root of the right side: 1.460749487

Break this problem into two subproblems by setting 
(t + -1.40625) equal to 1.460749487 and -1.460749487.


Subproblem 1
t + -1.40625 = 1.460749487

Simplifying
t + -1.40625 = 1.460749487

Reorder the terms:
-1.40625 + t = 1.460749487

Solving
-1.40625 + t = 1.460749487

Solving for variable 't'.

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

Add '1.40625' to each side of the equation.
-1.40625 + 1.40625 + t = 1.460749487 + 1.40625

Combine like terms: -1.40625 + 1.40625 = 0.00000
0.00000 + t = 1.460749487 + 1.40625
t = 1.460749487 + 1.40625

Combine like terms: 1.460749487 + 1.40625 = 2.866999487
t = 2.866999487

Simplifying
t = 2.866999487


Subproblem 2
t + -1.40625 = -1.460749487

Simplifying
t + -1.40625 = -1.460749487

Reorder the terms:
-1.40625 + t = -1.460749487

Solving
-1.40625 + t = -1.460749487

Solving for variable 't'.

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

Add '1.40625' to each side of the equation.
-1.40625 + 1.40625 + t = -1.460749487 + 1.40625

Combine like terms: -1.40625 + 1.40625 = 0.00000
0.00000 + t = -1.460749487 + 1.40625
t = -1.460749487 + 1.40625

Combine like terms: -1.460749487 + 1.40625 = -0.054499487
t = -0.054499487

Simplifying
t = -0.054499487


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {2.866999487, -0.054499487}

See similar equations:

| 3x+18=8x-2 | | 12y-82=10 | | 16.2+n=43.8 | | 8x^2-5=-2x^2+85 | | -5(y+1)=-6y | | (5*x)-2=73 | | 9y-3=2y+15 | | 39+4y-7=16y-10-5y | | P-32=34.59 | | 8(k+2)-(5k-3)=2k | | 2=.04p | | 3a^2-12a=16 | | 9x-12y=80 | | 0.044x+5.839=0.030x+5.832 | | -3u+1=-7(u+5) | | x-7=3x-(8-6x) | | -2u(u+2)=O | | 3mi=1760ft | | 5=3+2(x+-10) | | 3t-8=7 | | 5=3+2(x+10) | | 14s-17s=12 | | 5=3-2(x-10) | | X+16=192 | | w^2+30-11=0 | | 4x+8=8x+24 | | X-23=173 | | 9x^2=d | | y=(1.4*2)+2 | | 2x+4y+x+2y=-15 | | 2(4y-5)=3y+5 | | 6u=u+49 |

Equations solver categories