11t^2+3.5t=24

Simple and best practice solution for 11t^2+3.5t=24 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 11t^2+3.5t=24 equation:


Simplifying
11t2 + 3.5t = 24

Reorder the terms:
3.5t + 11t2 = 24

Solving
3.5t + 11t2 = 24

Solving for variable 't'.

Reorder the terms:
-24 + 3.5t + 11t2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 3.5t + 11t2 = 0

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

Divide each side by '11'.
-2.181818182 + 0.3181818182t + t2 = 0

Move the constant term to the right:

Add '2.181818182' to each side of the equation.
-2.181818182 + 0.3181818182t + 2.181818182 + t2 = 0 + 2.181818182

Reorder the terms:
-2.181818182 + 2.181818182 + 0.3181818182t + t2 = 0 + 2.181818182

Combine like terms: -2.181818182 + 2.181818182 = 0.000000000
0.000000000 + 0.3181818182t + t2 = 0 + 2.181818182
0.3181818182t + t2 = 0 + 2.181818182

Combine like terms: 0 + 2.181818182 = 2.181818182
0.3181818182t + t2 = 2.181818182

The t term is 0.3181818182t.  Take half its coefficient (0.1590909091).
Square it (0.02530991736) and add it to both sides.

Add '0.02530991736' to each side of the equation.
0.3181818182t + 0.02530991736 + t2 = 2.181818182 + 0.02530991736

Reorder the terms:
0.02530991736 + 0.3181818182t + t2 = 2.181818182 + 0.02530991736

Combine like terms: 2.181818182 + 0.02530991736 = 2.20712809936
0.02530991736 + 0.3181818182t + t2 = 2.20712809936

Factor a perfect square on the left side:
(t + 0.1590909091)(t + 0.1590909091) = 2.20712809936

Calculate the square root of the right side: 1.485640636

Break this problem into two subproblems by setting 
(t + 0.1590909091) equal to 1.485640636 and -1.485640636.

Subproblem 1

t + 0.1590909091 = 1.485640636 Simplifying t + 0.1590909091 = 1.485640636 Reorder the terms: 0.1590909091 + t = 1.485640636 Solving 0.1590909091 + t = 1.485640636 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.1590909091' to each side of the equation. 0.1590909091 + -0.1590909091 + t = 1.485640636 + -0.1590909091 Combine like terms: 0.1590909091 + -0.1590909091 = 0.0000000000 0.0000000000 + t = 1.485640636 + -0.1590909091 t = 1.485640636 + -0.1590909091 Combine like terms: 1.485640636 + -0.1590909091 = 1.3265497269 t = 1.3265497269 Simplifying t = 1.3265497269

Subproblem 2

t + 0.1590909091 = -1.485640636 Simplifying t + 0.1590909091 = -1.485640636 Reorder the terms: 0.1590909091 + t = -1.485640636 Solving 0.1590909091 + t = -1.485640636 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.1590909091' to each side of the equation. 0.1590909091 + -0.1590909091 + t = -1.485640636 + -0.1590909091 Combine like terms: 0.1590909091 + -0.1590909091 = 0.0000000000 0.0000000000 + t = -1.485640636 + -0.1590909091 t = -1.485640636 + -0.1590909091 Combine like terms: -1.485640636 + -0.1590909091 = -1.6447315451 t = -1.6447315451 Simplifying t = -1.6447315451

Solution

The solution to the problem is based on the solutions from the subproblems. t = {1.3265497269, -1.6447315451}

See similar equations:

| f(x)=-13x+15 | | .12(6)+.02x=.04(6+x) | | 3.5x-7=4x-2 | | -4m-6=6 | | 2q-20=40 | | 3(7x-1)=6-4x+6(2x+8) | | -7m+43-2(m-2)=5m-(3m-3)-4m+9 | | 4x+2=-1x+82 | | x(4x-3)=0 | | 9y=11(y+8) | | 7x+7=7x+7 | | 3y+2x=74.72 | | 1x+10=3x-48 | | (n-2)*180=179n | | -9m+54-6(m-4)=5m-(2m-7)-7m+5 | | (n-2)*180/n179 | | 5n+4=4n+22 | | -[9z-(12z+10)]=10+(2z+3) | | 3.142-0.4835(x-4)=6.795 | | lny=8t+1 | | sqrt(x)+99x^2-7x+5=100 | | 5x+12+15-10x=7x+3 | | -55-3x+8x=45 | | 45x-6=20 | | x-(180-x)=10 | | x+4x+7x=696 | | x-7=x-11 | | -8x-44+12x=32 | | 2(-1)-5(3)=13 | | x^2+5x-250=0 | | y=bm+m | | 13-2(2f+2)=2(f+2)+3f |

Equations solver categories