t^2-42t-200=0

Simple and best practice solution for t^2-42t-200=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^2-42t-200=0 equation: 


Simplifying
t2 + -42t + -200 = 0

Reorder the terms:
-200 + -42t + t2 = 0

Solving
-200 + -42t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '200' to each side of the equation.
-200 + -42t + 200 + t2 = 0 + 200

Reorder the terms:
-200 + 200 + -42t + t2 = 0 + 200

Combine like terms: -200 + 200 = 0
0 + -42t + t2 = 0 + 200
-42t + t2 = 0 + 200

Combine like terms: 0 + 200 = 200
-42t + t2 = 200

The t term is -42t.  Take half its coefficient (-21).
Square it (441) and add it to both sides.

Add '441' to each side of the equation.
-42t + 441 + t2 = 200 + 441

Reorder the terms:
441 + -42t + t2 = 200 + 441

Combine like terms: 200 + 441 = 641
441 + -42t + t2 = 641

Factor a perfect square on the left side:
(t + -21)(t + -21) = 641

Calculate the square root of the right side: 25.317977802

Break this problem into two subproblems by setting 
(t + -21) equal to 25.317977802 and -25.317977802.


Subproblem 1
t + -21 = 25.317977802

Simplifying
t + -21 = 25.317977802

Reorder the terms:
-21 + t = 25.317977802

Solving
-21 + t = 25.317977802

Solving for variable 't'.

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

Add '21' to each side of the equation.
-21 + 21 + t = 25.317977802 + 21

Combine like terms: -21 + 21 = 0
0 + t = 25.317977802 + 21
t = 25.317977802 + 21

Combine like terms: 25.317977802 + 21 = 46.317977802
t = 46.317977802

Simplifying
t = 46.317977802


Subproblem 2
t + -21 = -25.317977802

Simplifying
t + -21 = -25.317977802

Reorder the terms:
-21 + t = -25.317977802

Solving
-21 + t = -25.317977802

Solving for variable 't'.

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

Add '21' to each side of the equation.
-21 + 21 + t = -25.317977802 + 21

Combine like terms: -21 + 21 = 0
0 + t = -25.317977802 + 21
t = -25.317977802 + 21

Combine like terms: -25.317977802 + 21 = -4.317977802
t = -4.317977802

Simplifying
t = -4.317977802


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {46.317977802, -4.317977802}

See similar equations:

| 4x+260=400 | | 25+(x+65)+x=180 | | (x+1)+(x+2)+(x+3)=480 | | X+4x+14+x+14=180 | | 20=2.5m | | 20-(4*2)/(5-3)-2 | | -162+-98= | | -1x+1=x+1 | | 31.14=6g+3.84 | | 7x-(2x+3)=8(x-1)-5x | | -98+-162= | | x+4x+8=23 | | 180=2b+6 | | -1x+-1=x+1 | | 2x+12=x-31 | | N-2/3=1/3n= | | 19=-5x | | 5x+76=0 | | Y=2*-4+4 | | 5x+10=95 | | x+6x+7=49 | | (2x+1)+(x+5)=156 | | 2x(2)+y=8 | | 74=5t+16t^2 | | 0.75x+7=0.50x+12.50 | | 1/3=n/12 | | [-6-1]= | | -50+10x=40 | | 36x^4+12x^2+1=0 | | 8x+14=2x+34 | | S=c+(m-3)g | | 6(x-3)=(2x-9) |

Equations solver categories