0.0765t^2-0.886t+1.832=0

Simple and best practice solution for 0.0765t^2-0.886t+1.832=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 0.0765t^2-0.886t+1.832=0 equation:


Simplifying
0.0765t2 + -0.886t + 1.832 = 0

Reorder the terms:
1.832 + -0.886t + 0.0765t2 = 0

Solving
1.832 + -0.886t + 0.0765t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
0.0765 the coefficient of the squared term: 

Divide each side by '0.0765'.
23.94771242 + -11.58169935t + t2 = 0

Move the constant term to the right:

Add '-23.94771242' to each side of the equation.
23.94771242 + -11.58169935t + -23.94771242 + t2 = 0 + -23.94771242

Reorder the terms:
23.94771242 + -23.94771242 + -11.58169935t + t2 = 0 + -23.94771242

Combine like terms: 23.94771242 + -23.94771242 = 0.00000000
0.00000000 + -11.58169935t + t2 = 0 + -23.94771242
-11.58169935t + t2 = 0 + -23.94771242

Combine like terms: 0 + -23.94771242 = -23.94771242
-11.58169935t + t2 = -23.94771242

The t term is -11.58169935t.  Take half its coefficient (-5.790849675).
Square it (33.53393996) and add it to both sides.

Add '33.53393996' to each side of the equation.
-11.58169935t + 33.53393996 + t2 = -23.94771242 + 33.53393996

Reorder the terms:
33.53393996 + -11.58169935t + t2 = -23.94771242 + 33.53393996

Combine like terms: -23.94771242 + 33.53393996 = 9.58622754
33.53393996 + -11.58169935t + t2 = 9.58622754

Factor a perfect square on the left side:
(t + -5.790849675)(t + -5.790849675) = 9.58622754

Calculate the square root of the right side: 3.096163358

Break this problem into two subproblems by setting 
(t + -5.790849675) equal to 3.096163358 and -3.096163358.

Subproblem 1

t + -5.790849675 = 3.096163358 Simplifying t + -5.790849675 = 3.096163358 Reorder the terms: -5.790849675 + t = 3.096163358 Solving -5.790849675 + t = 3.096163358 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.790849675' to each side of the equation. -5.790849675 + 5.790849675 + t = 3.096163358 + 5.790849675 Combine like terms: -5.790849675 + 5.790849675 = 0.000000000 0.000000000 + t = 3.096163358 + 5.790849675 t = 3.096163358 + 5.790849675 Combine like terms: 3.096163358 + 5.790849675 = 8.887013033 t = 8.887013033 Simplifying t = 8.887013033

Subproblem 2

t + -5.790849675 = -3.096163358 Simplifying t + -5.790849675 = -3.096163358 Reorder the terms: -5.790849675 + t = -3.096163358 Solving -5.790849675 + t = -3.096163358 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.790849675' to each side of the equation. -5.790849675 + 5.790849675 + t = -3.096163358 + 5.790849675 Combine like terms: -5.790849675 + 5.790849675 = 0.000000000 0.000000000 + t = -3.096163358 + 5.790849675 t = -3.096163358 + 5.790849675 Combine like terms: -3.096163358 + 5.790849675 = 2.694686317 t = 2.694686317 Simplifying t = 2.694686317

Solution

The solution to the problem is based on the solutions from the subproblems. t = {8.887013033, 2.694686317}

See similar equations:

| -5/3x+2/3=-11 | | -1x-5y=-6 | | 5x+1=4x+14 | | 4x^2+11x-7=0 | | -4(-6v+y)-2(-y-2v)= | | 5y=-12 | | 5(x+2)=3x+16 | | 6x+1=4x+9 | | 3x-2(1/2x-x)=4 | | 41.04=9g+3.87 | | 1.02g-4=0.59 | | 3(y-2)+5=3y-1 | | 2.8=5.8-0.5x | | 11x-2x-7-12x=6 | | -5(r+4)=-78 | | (x+3)(x-260)=0 | | 3x-2/3-2x-5/4=2x-4/8 | | 4w+5=7 | | 14/14 | | 7c/12+5c/16=15/48+c | | (3x-2)/3-(2x-5)/4=(2x-4)/8 | | 3a^2b(a-3b)=0 | | 27-7k=65 | | 5w-51.25=-13+3/4w | | (X-2y)i=x+12i | | 2x+4-4x=-4-2x | | -8u=-4u+44 | | q^2+3q+36=0 | | -11p+2q+8p-2q= | | 10x^2-43x+28=0 | | 5(9r-3)=24 | | 10x^3-43x+28=0 |

Equations solver categories