5t^2+.39t-.9=0

Simple and best practice solution for 5t^2+.39t-.9=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 5t^2+.39t-.9=0 equation:


Simplifying
5t2 + 0.39t + -0.9 = 0

Reorder the terms:
-0.9 + 0.39t + 5t2 = 0

Solving
-0.9 + 0.39t + 5t2 = 0

Solving for variable 't'.

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

Divide each side by '5'.
-0.18 + 0.078t + t2 = 0

Move the constant term to the right:

Add '0.18' to each side of the equation.
-0.18 + 0.078t + 0.18 + t2 = 0 + 0.18

Reorder the terms:
-0.18 + 0.18 + 0.078t + t2 = 0 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.078t + t2 = 0 + 0.18
0.078t + t2 = 0 + 0.18

Combine like terms: 0 + 0.18 = 0.18
0.078t + t2 = 0.18

The t term is 0.078t.  Take half its coefficient (0.039).
Square it (0.001521) and add it to both sides.

Add '0.001521' to each side of the equation.
0.078t + 0.001521 + t2 = 0.18 + 0.001521

Reorder the terms:
0.001521 + 0.078t + t2 = 0.18 + 0.001521

Combine like terms: 0.18 + 0.001521 = 0.181521
0.001521 + 0.078t + t2 = 0.181521

Factor a perfect square on the left side:
(t + 0.039)(t + 0.039) = 0.181521

Calculate the square root of the right side: 0.426052814

Break this problem into two subproblems by setting 
(t + 0.039) equal to 0.426052814 and -0.426052814.

Subproblem 1

t + 0.039 = 0.426052814 Simplifying t + 0.039 = 0.426052814 Reorder the terms: 0.039 + t = 0.426052814 Solving 0.039 + t = 0.426052814 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.039' to each side of the equation. 0.039 + -0.039 + t = 0.426052814 + -0.039 Combine like terms: 0.039 + -0.039 = 0.000 0.000 + t = 0.426052814 + -0.039 t = 0.426052814 + -0.039 Combine like terms: 0.426052814 + -0.039 = 0.387052814 t = 0.387052814 Simplifying t = 0.387052814

Subproblem 2

t + 0.039 = -0.426052814 Simplifying t + 0.039 = -0.426052814 Reorder the terms: 0.039 + t = -0.426052814 Solving 0.039 + t = -0.426052814 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.039' to each side of the equation. 0.039 + -0.039 + t = -0.426052814 + -0.039 Combine like terms: 0.039 + -0.039 = 0.000 0.000 + t = -0.426052814 + -0.039 t = -0.426052814 + -0.039 Combine like terms: -0.426052814 + -0.039 = -0.465052814 t = -0.465052814 Simplifying t = -0.465052814

Solution

The solution to the problem is based on the solutions from the subproblems. t = {0.387052814, -0.465052814}

See similar equations:

| -14p=-140 | | 2(a+4)=2(a-4)+4z | | 3y+y^2=80 | | -x+3(4-x)=-6x | | 4-(2x-7)+x= | | 21-x=2x-3 | | K/10=-15 | | 3t-t-6t=8-20 | | 2(5x-9)=3(bx-6)+4x | | (-15/21)(-3/5)=w | | -6x-4=-2(x+10) | | -35-7x=11x+1 | | r-4+r=2 | | 3y+y^2=90 | | .075n=7.38 | | 13x+2=9x+14 | | -6m-3m=0 | | 0.03x=-15 | | 60=2y+3x | | -6a+a=10 | | 1=k-6+4 | | 3(x+2)+x=2(3x-4)+6 | | -20m-9=-14m-5 | | 19x-14=13x | | -.3=s+.7 | | -5=-2x+3x | | 0.2x=26 | | 2x+3-3x=5x+-15 | | 2x-15=-3x+40 | | 7x=11x+36 | | .6+y=.2 | | -2x=5x+7 |

Equations solver categories