-16t^2+12t+2=0

Simple and best practice solution for -16t^2+12t+2=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+12t+2=0 equation: 


Simplifying
-16t2 + 12t + 2 = 0

Reorder the terms:
2 + 12t + -16t2 = 0

Solving
2 + 12t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 6t + -8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 6t + -8t2)' equal to zero and attempt to solve:

Simplifying
1 + 6t + -8t2 = 0

Solving
1 + 6t + -8t2 = 0

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

Divide each side by '-8'.
-0.125 + -0.75t + t2 = 0

Move the constant term to the right:

Add '0.125' to each side of the equation.
-0.125 + -0.75t + 0.125 + t2 = 0 + 0.125

Reorder the terms:
-0.125 + 0.125 + -0.75t + t2 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + -0.75t + t2 = 0 + 0.125
-0.75t + t2 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
-0.75t + t2 = 0.125

The t term is -0.75t.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75t + 0.140625 + t2 = 0.125 + 0.140625

Reorder the terms:
0.140625 + -0.75t + t2 = 0.125 + 0.140625

Combine like terms: 0.125 + 0.140625 = 0.265625
0.140625 + -0.75t + t2 = 0.265625

Factor a perfect square on the left side:
(t + -0.375)(t + -0.375) = 0.265625

Calculate the square root of the right side: 0.515388203

Break this problem into two subproblems by setting 
(t + -0.375) equal to 0.515388203 and -0.515388203.


Subproblem 1
t + -0.375 = 0.515388203

Simplifying
t + -0.375 = 0.515388203

Reorder the terms:
-0.375 + t = 0.515388203

Solving
-0.375 + t = 0.515388203

Solving for variable 't'.

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + t = 0.515388203 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + t = 0.515388203 + 0.375
t = 0.515388203 + 0.375

Combine like terms: 0.515388203 + 0.375 = 0.890388203
t = 0.890388203

Simplifying
t = 0.890388203


Subproblem 2
t + -0.375 = -0.515388203

Simplifying
t + -0.375 = -0.515388203

Reorder the terms:
-0.375 + t = -0.515388203

Solving
-0.375 + t = -0.515388203

Solving for variable 't'.

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + t = -0.515388203 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + t = -0.515388203 + 0.375
t = -0.515388203 + 0.375

Combine like terms: -0.515388203 + 0.375 = -0.140388203
t = -0.140388203

Simplifying
t = -0.140388203


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.890388203, -0.140388203}
Solution
t = {0.890388203, -0.140388203}

See similar equations:

| 17x^2+14x-13=2x^2-1 | | -8/(x^2+16)=0 | | 10.0/1.25 | | .75x-18=.25x-4 | | b-4+4b=25 | | 6x^2-68x+4=0 | | 3.6(x+5)=4x | | 6(3x+1)=18x+6 | | e=3f+2g | | 8/(x^2+16)=0 | | 2-(x+3)-2x+4=x+7 | | 14-4z=2(7-z) | | 19=9x+1-6x | | 14x+5=6x+5 | | x+3/3=x+5 | | 9x-6+8x^2+13= | | 10t+5=60 | | 12-15=-3x | | 6x-106=-5x+70 | | 15=8x+1-6x | | -4x(-6)= | | -6x-3=5 | | 17=6-2x | | 13+(a/11)=7 | | 6m+12=-42 | | 1/3x54 | | 4(-y+7)+3(6y+1)=-2y+3+4y | | x+138=130 | | 18=7n+7-3 | | 42-3=333-100x | | 25y-8+x-3+4x-81y+2= | | (x^1x^2)^-2/x^2 |

Equations solver categories