0=4+t(5-4.9t)

Simple and best practice solution for 0=4+t(5-4.9t) 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 0=4+t(5-4.9t) equation:


Simplifying
0 = 4 + t(5 + -4.9t)
0 = 4 + (5 * t + -4.9t * t)
0 = 4 + (5t + -4.9t2)

Solving
0 = 4 + 5t + -4.9t2

Solving for variable 't'.

Combine like terms: 0 + -4 = -4
-4 + -5t + 4.9t2 = 4 + 5t + -4.9t2 + -4 + -5t + 4.9t2

Reorder the terms:
-4 + -5t + 4.9t2 = 4 + -4 + 5t + -5t + -4.9t2 + 4.9t2

Combine like terms: 4 + -4 = 0
-4 + -5t + 4.9t2 = 0 + 5t + -5t + -4.9t2 + 4.9t2
-4 + -5t + 4.9t2 = 5t + -5t + -4.9t2 + 4.9t2

Combine like terms: 5t + -5t = 0
-4 + -5t + 4.9t2 = 0 + -4.9t2 + 4.9t2
-4 + -5t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
-4 + -5t + 4.9t2 = 0.0

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

Divide each side by '4.9'.
-0.8163265306 + -1.020408163t + t2 = 0

Move the constant term to the right:

Add '0.8163265306' to each side of the equation.
-0.8163265306 + -1.020408163t + 0.8163265306 + t2 = 0 + 0.8163265306

Reorder the terms:
-0.8163265306 + 0.8163265306 + -1.020408163t + t2 = 0 + 0.8163265306

Combine like terms: -0.8163265306 + 0.8163265306 = 0.0000000000
0.0000000000 + -1.020408163t + t2 = 0 + 0.8163265306
-1.020408163t + t2 = 0 + 0.8163265306

Combine like terms: 0 + 0.8163265306 = 0.8163265306
-1.020408163t + t2 = 0.8163265306

The t term is -1.020408163t.  Take half its coefficient (-0.5102040815).
Square it (0.2603082048) and add it to both sides.

Add '0.2603082048' to each side of the equation.
-1.020408163t + 0.2603082048 + t2 = 0.8163265306 + 0.2603082048

Reorder the terms:
0.2603082048 + -1.020408163t + t2 = 0.8163265306 + 0.2603082048

Combine like terms: 0.8163265306 + 0.2603082048 = 1.0766347354
0.2603082048 + -1.020408163t + t2 = 1.0766347354

Factor a perfect square on the left side:
(t + -0.5102040815)(t + -0.5102040815) = 1.0766347354

Calculate the square root of the right side: 1.037610108

Break this problem into two subproblems by setting 
(t + -0.5102040815) equal to 1.037610108 and -1.037610108.

Subproblem 1

t + -0.5102040815 = 1.037610108 Simplifying t + -0.5102040815 = 1.037610108 Reorder the terms: -0.5102040815 + t = 1.037610108 Solving -0.5102040815 + t = 1.037610108 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5102040815' to each side of the equation. -0.5102040815 + 0.5102040815 + t = 1.037610108 + 0.5102040815 Combine like terms: -0.5102040815 + 0.5102040815 = 0.0000000000 0.0000000000 + t = 1.037610108 + 0.5102040815 t = 1.037610108 + 0.5102040815 Combine like terms: 1.037610108 + 0.5102040815 = 1.5478141895 t = 1.5478141895 Simplifying t = 1.5478141895

Subproblem 2

t + -0.5102040815 = -1.037610108 Simplifying t + -0.5102040815 = -1.037610108 Reorder the terms: -0.5102040815 + t = -1.037610108 Solving -0.5102040815 + t = -1.037610108 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5102040815' to each side of the equation. -0.5102040815 + 0.5102040815 + t = -1.037610108 + 0.5102040815 Combine like terms: -0.5102040815 + 0.5102040815 = 0.0000000000 0.0000000000 + t = -1.037610108 + 0.5102040815 t = -1.037610108 + 0.5102040815 Combine like terms: -1.037610108 + 0.5102040815 = -0.5274060265 t = -0.5274060265 Simplifying t = -0.5274060265

Solution

The solution to the problem is based on the solutions from the subproblems. t = {1.5478141895, -0.5274060265}

See similar equations:

| 5x-24=x+4 | | -(x^4)+16(x)=0 | | =9x+2 | | b+13=20 | | 2(2z-2)=5(z+4) | | -14=5/9(9-2b) | | 16w(w-30)= | | 10x+16-4x=28 | | y=1/5x-1 | | y-5/-3 | | -5w(w+2)= | | 8n-10=70 | | 150+18p=600 | | 300x+400=250x-300 | | 3+4(2+4)=31 | | log(5124+400)= | | 6y+(2y-8)=16 | | log(5x+400)=3 | | 8x+60=12x+20 | | f(x)=4x+12whatisg(x) | | Cos^2(3x)=1 | | x/6=7.5 | | 3x-10x=21+3x | | 16x-12=-1x-2 | | -x+(-x+(-1))+(-x+(-2))+(-x+(-3))=234 | | -x+(x+(-1))+(x+(-2))+(x+(-3))=234 | | -4+7x+3x=34 | | 2x-5=4# | | x=log(5)25 | | ln(x+9)-lnx=3 | | 14+4y=10-4y | | 4m+6=13 |

Equations solver categories