t^2+19.7t-208=0

Simple and best practice solution for t^2+19.7t-208=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+19.7t-208=0 equation: 


Simplifying
t2 + 19.7t + -208 = 0

Reorder the terms:
-208 + 19.7t + t2 = 0

Solving
-208 + 19.7t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '208' to each side of the equation.
-208 + 19.7t + 208 + t2 = 0 + 208

Reorder the terms:
-208 + 208 + 19.7t + t2 = 0 + 208

Combine like terms: -208 + 208 = 0
0 + 19.7t + t2 = 0 + 208
19.7t + t2 = 0 + 208

Combine like terms: 0 + 208 = 208
19.7t + t2 = 208

The t term is 19.7t.  Take half its coefficient (9.85).
Square it (97.0225) and add it to both sides.

Add '97.0225' to each side of the equation.
19.7t + 97.0225 + t2 = 208 + 97.0225

Reorder the terms:
97.0225 + 19.7t + t2 = 208 + 97.0225

Combine like terms: 208 + 97.0225 = 305.0225
97.0225 + 19.7t + t2 = 305.0225

Factor a perfect square on the left side:
(t + 9.85)(t + 9.85) = 305.0225

Calculate the square root of the right side: 17.464893358

Break this problem into two subproblems by setting 
(t + 9.85) equal to 17.464893358 and -17.464893358.


Subproblem 1
t + 9.85 = 17.464893358

Simplifying
t + 9.85 = 17.464893358

Reorder the terms:
9.85 + t = 17.464893358

Solving
9.85 + t = 17.464893358

Solving for variable 't'.

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

Add '-9.85' to each side of the equation.
9.85 + -9.85 + t = 17.464893358 + -9.85

Combine like terms: 9.85 + -9.85 = 0.00
0.00 + t = 17.464893358 + -9.85
t = 17.464893358 + -9.85

Combine like terms: 17.464893358 + -9.85 = 7.614893358
t = 7.614893358

Simplifying
t = 7.614893358


Subproblem 2
t + 9.85 = -17.464893358

Simplifying
t + 9.85 = -17.464893358

Reorder the terms:
9.85 + t = -17.464893358

Solving
9.85 + t = -17.464893358

Solving for variable 't'.

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

Add '-9.85' to each side of the equation.
9.85 + -9.85 + t = -17.464893358 + -9.85

Combine like terms: 9.85 + -9.85 = 0.00
0.00 + t = -17.464893358 + -9.85
t = -17.464893358 + -9.85

Combine like terms: -17.464893358 + -9.85 = -27.314893358
t = -27.314893358

Simplifying
t = -27.314893358


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {7.614893358, -27.314893358}

See similar equations:

| 1/3(-1/6)-4 | | 5e+-7=-10 | | 5.2q-5.8-5.5q=-1.3q-5.2 | | 3cos^2x+14cosx-5=0 | | -392x^2+196=0 | | (-2/3)^3(1/8-1/2)-2/3(1/8) | | 5/x=20/14 | | -16t^2+20t+14=0 | | coshx=1 | | 3X+14+3X+10= | | 10n=1.1 | | X^2-8x^2-9=0 | | x^4+6x^3+8x^2+3x-20=0 | | xy=62.64 | | 4x^2=10x-6 | | -48x^3+144x^2=0 | | 10=5x+22 | | 5-x=-2x-7 | | 3y-y=6+12 | | 9/5r-6=4/5r | | x-1+x+1=168 | | -8q=7m | | f(x)=3x^4+5x^3+73x^2+125x-50 | | 3=n+11 | | g(x)=lnx^13 | | t+13.1=-6.5 | | 30x+125y=18500 | | 0.5n=-0.1 | | x-7.5=-4.8 | | y=14-2 | | 5y/24-5/8 | | -4n+24=12 |

Equations solver categories