17=5+29t-16t^2

Simple and best practice solution for 17=5+29t-16t^2 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 17=5+29t-16t^2 equation:


Simplifying
17 = 5 + 29t + -16t2

Solving
17 = 5 + 29t + -16t2

Solving for variable 't'.

Combine like terms: 17 + -5 = 12
12 + -29t + 16t2 = 5 + 29t + -16t2 + -5 + -29t + 16t2

Reorder the terms:
12 + -29t + 16t2 = 5 + -5 + 29t + -29t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
12 + -29t + 16t2 = 0 + 29t + -29t + -16t2 + 16t2
12 + -29t + 16t2 = 29t + -29t + -16t2 + 16t2

Combine like terms: 29t + -29t = 0
12 + -29t + 16t2 = 0 + -16t2 + 16t2
12 + -29t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
12 + -29t + 16t2 = 0

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

Divide each side by '16'.
0.75 + -1.8125t + t2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.8125t + -0.75 + t2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.8125t + t2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.8125t + t2 = 0 + -0.75
-1.8125t + t2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.8125t + t2 = -0.75

The t term is -1.8125t.  Take half its coefficient (-0.90625).
Square it (0.8212890625) and add it to both sides.

Add '0.8212890625' to each side of the equation.
-1.8125t + 0.8212890625 + t2 = -0.75 + 0.8212890625

Reorder the terms:
0.8212890625 + -1.8125t + t2 = -0.75 + 0.8212890625

Combine like terms: -0.75 + 0.8212890625 = 0.0712890625
0.8212890625 + -1.8125t + t2 = 0.0712890625

Factor a perfect square on the left side:
(t + -0.90625)(t + -0.90625) = 0.0712890625

Calculate the square root of the right side: 0.267000117

Break this problem into two subproblems by setting 
(t + -0.90625) equal to 0.267000117 and -0.267000117.

Subproblem 1

t + -0.90625 = 0.267000117 Simplifying t + -0.90625 = 0.267000117 Reorder the terms: -0.90625 + t = 0.267000117 Solving -0.90625 + t = 0.267000117 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.90625' to each side of the equation. -0.90625 + 0.90625 + t = 0.267000117 + 0.90625 Combine like terms: -0.90625 + 0.90625 = 0.00000 0.00000 + t = 0.267000117 + 0.90625 t = 0.267000117 + 0.90625 Combine like terms: 0.267000117 + 0.90625 = 1.173250117 t = 1.173250117 Simplifying t = 1.173250117

Subproblem 2

t + -0.90625 = -0.267000117 Simplifying t + -0.90625 = -0.267000117 Reorder the terms: -0.90625 + t = -0.267000117 Solving -0.90625 + t = -0.267000117 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.90625' to each side of the equation. -0.90625 + 0.90625 + t = -0.267000117 + 0.90625 Combine like terms: -0.90625 + 0.90625 = 0.00000 0.00000 + t = -0.267000117 + 0.90625 t = -0.267000117 + 0.90625 Combine like terms: -0.267000117 + 0.90625 = 0.639249883 t = 0.639249883 Simplifying t = 0.639249883

Solution

The solution to the problem is based on the solutions from the subproblems. t = {1.173250117, 0.639249883}

See similar equations:

| 5(m-2)+36=-4 | | 25s^2+20s=-4 | | 3x^2-5x=8 | | b+3.1=.7 | | 5(m-2)=2(2m+1) | | 9+2= | | 4c-4=29 | | b-3.1=.7 | | 6x^5-11x^3=9x^2 | | 5h-6-h+10=12 | | 2x+1=11y+1 | | 3-2x=2x-5 | | -z=8 | | -2(-2y+13)-3y-18=x | | -4(-2x-7)+6x-7= | | 14-(6v+3)=-6v-11 | | 9x+y=2x-9 | | 5+2c=x | | 4y+8=4y-7 | | 16-2.4d=-8 | | 2.4+-3.1= | | 38x+2522x-55=64(40x+32) | | 7.2y+4.7=62.3 | | 4m-6=5m+8-m | | -5(2p+3)-36=3(5p+8) | | 2.4-3.1= | | 8+9x+4(11-2x)= | | 1.25x-1.5x=6 | | 9(4x+5)-20= | | 1+2x-x=x-5+x | | 8+3d=17 | | 6t=-42 |

Equations solver categories