-16t^2+48t+402=

Simple and best practice solution for -16t^2+48t+402= 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+48t+402= equation: 


Simplifying
-16t2 + 48t + 402 = 0

Reorder the terms:
402 + 48t + -16t2 = 0

Solving
402 + 48t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(201 + 24t + -8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(201 + 24t + -8t2)' equal to zero and attempt to solve:

Simplifying
201 + 24t + -8t2 = 0

Solving
201 + 24t + -8t2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
-25.125 + -3t + t2 = 0

Move the constant term to the right:

Add '25.125' to each side of the equation.
-25.125 + -3t + 25.125 + t2 = 0 + 25.125

Reorder the terms:
-25.125 + 25.125 + -3t + t2 = 0 + 25.125

Combine like terms: -25.125 + 25.125 = 0.000
0.000 + -3t + t2 = 0 + 25.125
-3t + t2 = 0 + 25.125

Combine like terms: 0 + 25.125 = 25.125
-3t + t2 = 25.125

The t term is -3t.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3t + 2.25 + t2 = 25.125 + 2.25

Reorder the terms:
2.25 + -3t + t2 = 25.125 + 2.25

Combine like terms: 25.125 + 2.25 = 27.375
2.25 + -3t + t2 = 27.375

Factor a perfect square on the left side:
(t + -1.5)(t + -1.5) = 27.375

Calculate the square root of the right side: 5.232112384

Break this problem into two subproblems by setting 
(t + -1.5) equal to 5.232112384 and -5.232112384.


Subproblem 1
t + -1.5 = 5.232112384

Simplifying
t + -1.5 = 5.232112384

Reorder the terms:
-1.5 + t = 5.232112384

Solving
-1.5 + t = 5.232112384

Solving for variable 't'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + t = 5.232112384 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + t = 5.232112384 + 1.5
t = 5.232112384 + 1.5

Combine like terms: 5.232112384 + 1.5 = 6.732112384
t = 6.732112384

Simplifying
t = 6.732112384


Subproblem 2
t + -1.5 = -5.232112384

Simplifying
t + -1.5 = -5.232112384

Reorder the terms:
-1.5 + t = -5.232112384

Solving
-1.5 + t = -5.232112384

Solving for variable 't'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + t = -5.232112384 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + t = -5.232112384 + 1.5
t = -5.232112384 + 1.5

Combine like terms: -5.232112384 + 1.5 = -3.732112384
t = -3.732112384

Simplifying
t = -3.732112384


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {6.732112384, -3.732112384}
Solution
t = {6.732112384, -3.732112384}

See similar equations:

| x-4y+130=180 | | -16t^2+48t+402=h | | 3x^2-5xy-28y^2=0 | | 9/72 | | 8(1.7×10^9)/2×10^4 | | 12x+3y=60 | | 3+tanx=-3 | | x^2-6*x=0 | | 12x^2-25x+5=0 | | 12x-25x+5=0 | | 275m^2-704n^2= | | 38=5(22b-3)+3b+1 | | -2n=15n | | (5p^4q^-2)^-2/(2p^-2q)^3 | | 3a-b/9 | | Y=0.13+24.52 | | 2n=15n | | 4/7÷11/7= | | 11/7÷4/7= | | 4x(x-3)(x+6)=0 | | 4x+1*7= | | x-x(.10)=25 | | 5+2(n-3)=19 | | x+x(.10)=25 | | v=4x3.1416x0.343/3 | | 4(7n+12)=132 | | (9*5)2=a | | 6(3+2)=p | | 0.27v-16=0.32v-2 | | 200x^2+18y^2=0 | | (7+8)+2=q | | 2(6+7)=s |

Equations solver categories