t^2-20t+44=

Simple and best practice solution for t^2-20t+44= 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 t^2-20t+44= equation: 


Simplifying
t2 + -20t + 44 = 0

Reorder the terms:
44 + -20t + t2 = 0

Solving
44 + -20t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-44' to each side of the equation.
44 + -20t + -44 + t2 = 0 + -44

Reorder the terms:
44 + -44 + -20t + t2 = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -20t + t2 = 0 + -44
-20t + t2 = 0 + -44

Combine like terms: 0 + -44 = -44
-20t + t2 = -44

The t term is -20t.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20t + 100 + t2 = -44 + 100

Reorder the terms:
100 + -20t + t2 = -44 + 100

Combine like terms: -44 + 100 = 56
100 + -20t + t2 = 56

Factor a perfect square on the left side:
(t + -10)(t + -10) = 56

Calculate the square root of the right side: 7.483314774

Break this problem into two subproblems by setting 
(t + -10) equal to 7.483314774 and -7.483314774.


Subproblem 1
t + -10 = 7.483314774

Simplifying
t + -10 = 7.483314774

Reorder the terms:
-10 + t = 7.483314774

Solving
-10 + t = 7.483314774

Solving for variable 't'.

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

Add '10' to each side of the equation.
-10 + 10 + t = 7.483314774 + 10

Combine like terms: -10 + 10 = 0
0 + t = 7.483314774 + 10
t = 7.483314774 + 10

Combine like terms: 7.483314774 + 10 = 17.483314774
t = 17.483314774

Simplifying
t = 17.483314774


Subproblem 2
t + -10 = -7.483314774

Simplifying
t + -10 = -7.483314774

Reorder the terms:
-10 + t = -7.483314774

Solving
-10 + t = -7.483314774

Solving for variable 't'.

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

Add '10' to each side of the equation.
-10 + 10 + t = -7.483314774 + 10

Combine like terms: -10 + 10 = 0
0 + t = -7.483314774 + 10
t = -7.483314774 + 10

Combine like terms: -7.483314774 + 10 = 2.516685226
t = 2.516685226

Simplifying
t = 2.516685226


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {17.483314774, 2.516685226}

See similar equations:

| 3x+1=5x-13 | | t^2-4t+12=0 | | 17=y-57 | | 8z+6=7z | | 2t^2-20t+44=0 | | x(3+-7)+8+2x=3x+-7x+8+-2x | | t+10=7t-4t | | -7*-4=0 | | 2x^2+6x-360=0 | | -72=9r | | 15x+-5=55 | | 10x-4=2(5x-2) | | -8k=20 | | -18=3b | | 6g=9 | | -18=-6t | | 6x^2+60=39x | | -21=7s | | 4x^2-24=0 | | 1.75*3= | | 36=9c | | 3x^2+19x-14=0 | | -42=6y | | 3x^2+19-14=0 | | 15b-13=2+10b | | 3x-(x+-7)=18 | | 3a=9 | | (5-4i)+(6i)+(8i)=0 | | 9(x+5)-(5x-10)= | | 101-6x=30x+21 | | (5p-8)-p= | | 12-8x=148-36x |

Equations solver categories