0.45t^2-2t+1=0

Simple and best practice solution for 0.45t^2-2t+1=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 0.45t^2-2t+1=0 equation: 


Simplifying
0.45t2 + -2t + 1 = 0

Reorder the terms:
1 + -2t + 0.45t2 = 0

Solving
1 + -2t + 0.45t2 = 0

Solving for variable 't'.

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

Divide each side by '0.45'.
2.222222222 + -4.444444444t + t2 = 0

Move the constant term to the right:

Add '-2.222222222' to each side of the equation.
2.222222222 + -4.444444444t + -2.222222222 + t2 = 0 + -2.222222222

Reorder the terms:
2.222222222 + -2.222222222 + -4.444444444t + t2 = 0 + -2.222222222

Combine like terms: 2.222222222 + -2.222222222 = 0.000000000
0.000000000 + -4.444444444t + t2 = 0 + -2.222222222
-4.444444444t + t2 = 0 + -2.222222222

Combine like terms: 0 + -2.222222222 = -2.222222222
-4.444444444t + t2 = -2.222222222

The t term is -4.444444444t.  Take half its coefficient (-2.222222222).
Square it (4.938271604) and add it to both sides.

Add '4.938271604' to each side of the equation.
-4.444444444t + 4.938271604 + t2 = -2.222222222 + 4.938271604

Reorder the terms:
4.938271604 + -4.444444444t + t2 = -2.222222222 + 4.938271604

Combine like terms: -2.222222222 + 4.938271604 = 2.716049382
4.938271604 + -4.444444444t + t2 = 2.716049382

Factor a perfect square on the left side:
(t + -2.222222222)(t + -2.222222222) = 2.716049382

Calculate the square root of the right side: 1.648044108

Break this problem into two subproblems by setting 
(t + -2.222222222) equal to 1.648044108 and -1.648044108.


Subproblem 1
t + -2.222222222 = 1.648044108

Simplifying
t + -2.222222222 = 1.648044108

Reorder the terms:
-2.222222222 + t = 1.648044108

Solving
-2.222222222 + t = 1.648044108

Solving for variable 't'.

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

Add '2.222222222' to each side of the equation.
-2.222222222 + 2.222222222 + t = 1.648044108 + 2.222222222

Combine like terms: -2.222222222 + 2.222222222 = 0.000000000
0.000000000 + t = 1.648044108 + 2.222222222
t = 1.648044108 + 2.222222222

Combine like terms: 1.648044108 + 2.222222222 = 3.87026633
t = 3.87026633

Simplifying
t = 3.87026633


Subproblem 2
t + -2.222222222 = -1.648044108

Simplifying
t + -2.222222222 = -1.648044108

Reorder the terms:
-2.222222222 + t = -1.648044108

Solving
-2.222222222 + t = -1.648044108

Solving for variable 't'.

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

Add '2.222222222' to each side of the equation.
-2.222222222 + 2.222222222 + t = -1.648044108 + 2.222222222

Combine like terms: -2.222222222 + 2.222222222 = 0.000000000
0.000000000 + t = -1.648044108 + 2.222222222
t = -1.648044108 + 2.222222222

Combine like terms: -1.648044108 + 2.222222222 = 0.574178114
t = 0.574178114

Simplifying
t = 0.574178114


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {3.87026633, 0.574178114}

See similar equations:

| 5(x-3)+7=3x+2(-3+x) | | -s+6+3s=8s | | -20+z=4 | | 7b=11+95+41 | | -32-6x+8x-14= | | 1.126=2x+3 | | 2p+1=3p+7 | | -14x-39+5x+48= | | f(x)=3x^2+7x+1 | | -8y+7-5y=-18 | | 8x-14+5x+48= | | k^2+12k-14=0 | | -1/9n=17 | | 3(2+x)=4-(x+2) | | 7x+27=4x+12 | | -28=4h-3h | | X+(-7y)+(-4x)+8y= | | -20=4(8z-2) | | 2x+6y-8+19x=0 | | (2x-7)2=81 | | 5.5=0.5x-8.3/2.2 | | -3(4r-2)=-30 | | -18(x+1)+6(4x-5)=5(x-4)+8 | | 4X+y=8z | | 4/5x-2=18 | | 110=2x+4y | | 9(6x+4)= | | (5w-3)-(w-1)= | | y=x^3+3x^2-72x+5 | | -3v-6+8=-15 | | -4+x=-7x+4 | | -4+x=-7+4 |

Equations solver categories