t^2-7t-19=0

Simple and best practice solution for t^2-7t-19=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 t^2-7t-19=0 equation: 


Simplifying
t2 + -7t + -19 = 0

Reorder the terms:
-19 + -7t + t2 = 0

Solving
-19 + -7t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '19' to each side of the equation.
-19 + -7t + 19 + t2 = 0 + 19

Reorder the terms:
-19 + 19 + -7t + t2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -7t + t2 = 0 + 19
-7t + t2 = 0 + 19

Combine like terms: 0 + 19 = 19
-7t + t2 = 19

The t term is -7t.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7t + 12.25 + t2 = 19 + 12.25

Reorder the terms:
12.25 + -7t + t2 = 19 + 12.25

Combine like terms: 19 + 12.25 = 31.25
12.25 + -7t + t2 = 31.25

Factor a perfect square on the left side:
(t + -3.5)(t + -3.5) = 31.25

Calculate the square root of the right side: 5.590169944

Break this problem into two subproblems by setting 
(t + -3.5) equal to 5.590169944 and -5.590169944.


Subproblem 1
t + -3.5 = 5.590169944

Simplifying
t + -3.5 = 5.590169944

Reorder the terms:
-3.5 + t = 5.590169944

Solving
-3.5 + t = 5.590169944

Solving for variable 't'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + t = 5.590169944 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + t = 5.590169944 + 3.5
t = 5.590169944 + 3.5

Combine like terms: 5.590169944 + 3.5 = 9.090169944
t = 9.090169944

Simplifying
t = 9.090169944


Subproblem 2
t + -3.5 = -5.590169944

Simplifying
t + -3.5 = -5.590169944

Reorder the terms:
-3.5 + t = -5.590169944

Solving
-3.5 + t = -5.590169944

Solving for variable 't'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + t = -5.590169944 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + t = -5.590169944 + 3.5
t = -5.590169944 + 3.5

Combine like terms: -5.590169944 + 3.5 = -2.090169944
t = -2.090169944

Simplifying
t = -2.090169944


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {9.090169944, -2.090169944}

See similar equations:

| 6(x+3)-5(x+4)=16 | | 6*x=26 | | -51=3x+6 | | 10x+11=4039 | | 2=z-(-6) | | 10x+6(3x-1)-9x+21= | | x+x+4+x+x+4= | | Y-x-4= | | y-2/5=3/5 | | 6(k+3)=6k+18 | | 2x-7=10x-15 | | 8=4.7+b | | 2h-8=-2 | | 18=5(p-5)+3 | | 1-m=4-m-3 | | 7y-8=10+4y | | -0.3x=2.1 | | 0.80x+0.15(40)=0.40(71) | | |2/5x|=4 | | 3v=-21 | | -9=a+0.5 | | -36=4d | | X+0.66=-0.2 | | -6+z=-14 | | 5*2+5x*x*x+x=15 | | C-17=53 | | 5*2+5x*x*x=15 | | 5*2+5x*x=15 | | (3m+4)(m+5)= | | 4x^2+64=9x^2+1 | | 9(x-4)=9x-33 | | 6x+6x+32-2x+32-2x= |

Equations solver categories