0.2t^2-2t+5.3=2.1

Simple and best practice solution for 0.2t^2-2t+5.3=2.1 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 0.2t^2-2t+5.3=2.1 equation: 


Simplifying
0.2t2 + -2t + 5.3 = 2.1

Reorder the terms:
5.3 + -2t + 0.2t2 = 2.1

Solving
5.3 + -2t + 0.2t2 = 2.1

Solving for variable 't'.

Reorder the terms:
5.3 + -2.1 + -2t + 0.2t2 = 2.1 + -2.1

Combine like terms: 5.3 + -2.1 = 3.2
3.2 + -2t + 0.2t2 = 2.1 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
3.2 + -2t + 0.2t2 = 0.0

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

Divide each side by '0.2'.
16 + -10t + t2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -10t + -16 + t2 = 0 + -16

Reorder the terms:
16 + -16 + -10t + t2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -10t + t2 = 0 + -16
-10t + t2 = 0 + -16

Combine like terms: 0 + -16 = -16
-10t + t2 = -16

The t term is -10t.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10t + 25 + t2 = -16 + 25

Reorder the terms:
25 + -10t + t2 = -16 + 25

Combine like terms: -16 + 25 = 9
25 + -10t + t2 = 9

Factor a perfect square on the left side:
(t + -5)(t + -5) = 9

Calculate the square root of the right side: 3

Break this problem into two subproblems by setting 
(t + -5) equal to 3 and -3.


Subproblem 1
t + -5 = 3

Simplifying
t + -5 = 3

Reorder the terms:
-5 + t = 3

Solving
-5 + t = 3

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + t = 3 + 5

Combine like terms: -5 + 5 = 0
0 + t = 3 + 5
t = 3 + 5

Combine like terms: 3 + 5 = 8
t = 8

Simplifying
t = 8


Subproblem 2
t + -5 = -3

Simplifying
t + -5 = -3

Reorder the terms:
-5 + t = -3

Solving
-5 + t = -3

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + t = -3 + 5

Combine like terms: -5 + 5 = 0
0 + t = -3 + 5
t = -3 + 5

Combine like terms: -3 + 5 = 2
t = 2

Simplifying
t = 2


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {8, 2}

See similar equations:

| 7m^2-14m-52=4 | | 5k^2=-11 | | 3x^2-41x=110 | | -11x=-44 | | 9(3x-7)=18 | | 27x^2-6x-1=0 | | 12m^2+13mn+3n^2=0 | | y^4-y^3-6y^2=0 | | 3v=-48 | | 6-5f=-94 | | -(6y+1)-(-5y-4)=2 | | 15n^2+14n-8=0 | | log(x)+log(5)=log(4) | | 15=-3j | | log(x)+log(5)=4 | | 3G+11=26 | | 4x^2-2=3x+2x^2 | | 2x^2=-7x+30 | | 48x^2-56x+8=0 | | 12m-6+4(3m)=90 | | 3(n-2)= | | 4x+2x-13=89 | | 6x^2-50x+56=0 | | -54x^2-24x-2=0 | | -3(y+2)+9=12 | | 2.5k^2+3k-0.5=0 | | x-3(x-2)=18+2(5x-8)-6(2x+1) | | 30+5.5x=8x | | 9x^2-67x+28=0 | | 2x^2-13x-40=0 | | 3x^2+6x-3=0 | | 7p+8=3p-12 |

Equations solver categories