2t^2+20t-2550=0

Simple and best practice solution for 2t^2+20t-2550=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 2t^2+20t-2550=0 equation: 


Simplifying
2t2 + 20t + -2550 = 0

Reorder the terms:
-2550 + 20t + 2t2 = 0

Solving
-2550 + 20t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1275 + 10t + t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1275 + 10t + t2)' equal to zero and attempt to solve:

Simplifying
-1275 + 10t + t2 = 0

Solving
-1275 + 10t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1275' to each side of the equation.
-1275 + 10t + 1275 + t2 = 0 + 1275

Reorder the terms:
-1275 + 1275 + 10t + t2 = 0 + 1275

Combine like terms: -1275 + 1275 = 0
0 + 10t + t2 = 0 + 1275
10t + t2 = 0 + 1275

Combine like terms: 0 + 1275 = 1275
10t + t2 = 1275

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 = 1275 + 25

Reorder the terms:
25 + 10t + t2 = 1275 + 25

Combine like terms: 1275 + 25 = 1300
25 + 10t + t2 = 1300

Factor a perfect square on the left side:
(t + 5)(t + 5) = 1300

Calculate the square root of the right side: 36.055512755

Break this problem into two subproblems by setting 
(t + 5) equal to 36.055512755 and -36.055512755.


Subproblem 1
t + 5 = 36.055512755

Simplifying
t + 5 = 36.055512755

Reorder the terms:
5 + t = 36.055512755

Solving
5 + t = 36.055512755

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 = 36.055512755 + -5

Combine like terms: 5 + -5 = 0
0 + t = 36.055512755 + -5
t = 36.055512755 + -5

Combine like terms: 36.055512755 + -5 = 31.055512755
t = 31.055512755

Simplifying
t = 31.055512755


Subproblem 2
t + 5 = -36.055512755

Simplifying
t + 5 = -36.055512755

Reorder the terms:
5 + t = -36.055512755

Solving
5 + t = -36.055512755

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 = -36.055512755 + -5

Combine like terms: 5 + -5 = 0
0 + t = -36.055512755 + -5
t = -36.055512755 + -5

Combine like terms: -36.055512755 + -5 = -41.055512755
t = -41.055512755

Simplifying
t = -41.055512755


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {31.055512755, -41.055512755}
Solution
t = {31.055512755, -41.055512755}

See similar equations:

| 91x+5=18 | | 7x-2(5x-6)=30 | | 4p^2-8=0 | | 5x+3=3(2x-5) | | 3/6*25-4/3 | | D=m/x | | 19x+7x=210 | | 5x+4x-7=4x-2-x | | 20-15a+b+6+4a-4a= | | -4x-2(-7x-13)=-84 | | 12+9*9*3= | | -5(2x-6)=49x+11 | | -4+9*-6= | | 1/8*25-4/3 | | 16=1-4n-5 | | 4+4m=16 | | 7+(5m)=0 | | 2o+o+54=180 | | 25x+10y=670 | | 18=x/-3 | | 56x7/8-4x1/4= | | -3x+4(-x+9)=-20 | | 3x^2+70=0 | | -6n+2=8n+2(1+4n) | | -1-a=-3(4+4a) | | -8a-7a= | | m-36.8=475.2 | | -39-6n=8(1+6n)+7 | | -6x-4(-5x+2)=-78 | | x^2+(3+k)*x+(4*k-3)=0 | | -6x-7(2x+8)=-176 | | x^2+(3+k)x+(4*k-3)=0 |

Equations solver categories