200=13t^2-100t

Simple and best practice solution for 200=13t^2-100t 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 200=13t^2-100t equation:


Simplifying
200 = 13t2 + -100t

Reorder the terms:
200 = -100t + 13t2

Solving
200 = -100t + 13t2

Solving for variable 't'.

Reorder the terms:
200 + 100t + -13t2 = -100t + 100t + 13t2 + -13t2

Combine like terms: -100t + 100t = 0
200 + 100t + -13t2 = 0 + 13t2 + -13t2
200 + 100t + -13t2 = 13t2 + -13t2

Combine like terms: 13t2 + -13t2 = 0
200 + 100t + -13t2 = 0

Begin completing the square.  Divide all terms by
-13 the coefficient of the squared term: 

Divide each side by '-13'.
-15.38461538 + -7.692307692t + t2 = 0

Move the constant term to the right:

Add '15.38461538' to each side of the equation.
-15.38461538 + -7.692307692t + 15.38461538 + t2 = 0 + 15.38461538

Reorder the terms:
-15.38461538 + 15.38461538 + -7.692307692t + t2 = 0 + 15.38461538

Combine like terms: -15.38461538 + 15.38461538 = 0.00000000
0.00000000 + -7.692307692t + t2 = 0 + 15.38461538
-7.692307692t + t2 = 0 + 15.38461538

Combine like terms: 0 + 15.38461538 = 15.38461538
-7.692307692t + t2 = 15.38461538

The t term is -7.692307692t.  Take half its coefficient (-3.846153846).
Square it (14.79289941) and add it to both sides.

Add '14.79289941' to each side of the equation.
-7.692307692t + 14.79289941 + t2 = 15.38461538 + 14.79289941

Reorder the terms:
14.79289941 + -7.692307692t + t2 = 15.38461538 + 14.79289941

Combine like terms: 15.38461538 + 14.79289941 = 30.17751479
14.79289941 + -7.692307692t + t2 = 30.17751479

Factor a perfect square on the left side:
(t + -3.846153846)(t + -3.846153846) = 30.17751479

Calculate the square root of the right side: 5.493406483

Break this problem into two subproblems by setting 
(t + -3.846153846) equal to 5.493406483 and -5.493406483.

Subproblem 1

t + -3.846153846 = 5.493406483 Simplifying t + -3.846153846 = 5.493406483 Reorder the terms: -3.846153846 + t = 5.493406483 Solving -3.846153846 + t = 5.493406483 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.846153846' to each side of the equation. -3.846153846 + 3.846153846 + t = 5.493406483 + 3.846153846 Combine like terms: -3.846153846 + 3.846153846 = 0.000000000 0.000000000 + t = 5.493406483 + 3.846153846 t = 5.493406483 + 3.846153846 Combine like terms: 5.493406483 + 3.846153846 = 9.339560329 t = 9.339560329 Simplifying t = 9.339560329

Subproblem 2

t + -3.846153846 = -5.493406483 Simplifying t + -3.846153846 = -5.493406483 Reorder the terms: -3.846153846 + t = -5.493406483 Solving -3.846153846 + t = -5.493406483 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.846153846' to each side of the equation. -3.846153846 + 3.846153846 + t = -5.493406483 + 3.846153846 Combine like terms: -3.846153846 + 3.846153846 = 0.000000000 0.000000000 + t = -5.493406483 + 3.846153846 t = -5.493406483 + 3.846153846 Combine like terms: -5.493406483 + 3.846153846 = -1.647252637 t = -1.647252637 Simplifying t = -1.647252637

Solution

The solution to the problem is based on the solutions from the subproblems. t = {9.339560329, -1.647252637}

See similar equations:

| (3x-3)(3x+3)= | | (7a^3+a-5)-(9-5a^3-2a^2)= | | 2x+6=x+3 | | 5a+6a=9 | | -6-(-8)= | | 4(3x-1)-2=x+5 | | 2x+6=2x+3 | | (b-6)(b-8)= | | W^2+w=-12 | | 2x^2-2=4 | | -5x^5(6x^2+11)= | | 8x+-13=13+-8x | | 6(w+6)-(4w-9)=9w | | 4(-3x+2)= | | -3(x-5)=4x-2x+5 | | 7x-14=6x-16 | | 8x-15=5x | | c=js | | -3(-7x+7)=0 | | 2[2(6.75)-1]-8=18 | | 20g^3+24g^2-15g-18= | | 2x-4=b(x-b) | | 8x^2-30x=-10 | | -8x-12x=-100 | | (x^8y^4)= | | 120k^3-80k^2+144k-96=0 | | 3(2x-15)=2(3x-9) | | (3a^4)= | | -5(4x+4)=140 | | x^2-8+12=0 | | x-4=6x+1 | | 115=57 |

Equations solver categories