-16t^2+208t+550=0

Simple and best practice solution for -16t^2+208t+550=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 -16t^2+208t+550=0 equation:


Simplifying
-16t2 + 208t + 550 = 0

Reorder the terms:
550 + 208t + -16t2 = 0

Solving
550 + 208t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(275 + 104t + -8t2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(275 + 104t + -8t2)' equal to zero and attempt to solve: Simplifying 275 + 104t + -8t2 = 0 Solving 275 + 104t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -34.375 + -13t + t2 = 0 Move the constant term to the right: Add '34.375' to each side of the equation. -34.375 + -13t + 34.375 + t2 = 0 + 34.375 Reorder the terms: -34.375 + 34.375 + -13t + t2 = 0 + 34.375 Combine like terms: -34.375 + 34.375 = 0.000 0.000 + -13t + t2 = 0 + 34.375 -13t + t2 = 0 + 34.375 Combine like terms: 0 + 34.375 = 34.375 -13t + t2 = 34.375 The t term is -13t. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13t + 42.25 + t2 = 34.375 + 42.25 Reorder the terms: 42.25 + -13t + t2 = 34.375 + 42.25 Combine like terms: 34.375 + 42.25 = 76.625 42.25 + -13t + t2 = 76.625 Factor a perfect square on the left side: (t + -6.5)(t + -6.5) = 76.625 Calculate the square root of the right side: 8.7535707 Break this problem into two subproblems by setting (t + -6.5) equal to 8.7535707 and -8.7535707.

Subproblem 1

t + -6.5 = 8.7535707 Simplifying t + -6.5 = 8.7535707 Reorder the terms: -6.5 + t = 8.7535707 Solving -6.5 + t = 8.7535707 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + t = 8.7535707 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + t = 8.7535707 + 6.5 t = 8.7535707 + 6.5 Combine like terms: 8.7535707 + 6.5 = 15.2535707 t = 15.2535707 Simplifying t = 15.2535707

Subproblem 2

t + -6.5 = -8.7535707 Simplifying t + -6.5 = -8.7535707 Reorder the terms: -6.5 + t = -8.7535707 Solving -6.5 + t = -8.7535707 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + t = -8.7535707 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + t = -8.7535707 + 6.5 t = -8.7535707 + 6.5 Combine like terms: -8.7535707 + 6.5 = -2.2535707 t = -2.2535707 Simplifying t = -2.2535707

Solution

The solution to the problem is based on the solutions from the subproblems. t = {15.2535707, -2.2535707}

Solution

t = {15.2535707, -2.2535707}

See similar equations:

| 7x-63=-x+121 | | -3=21-x | | 4(-9+3x)=-48 | | 12x-17=5x+19 | | M-7(2m-7)=140 | | 7x+17=3x+21 | | 18r+90=-57-60 | | 7r-7=6r-6 | | 6x^3-24=o | | 8x+10+3x+75=180 | | -16t^2+208+550=0 | | 15x+9y=90 | | -7(2x-5)=-7 | | 5x-4=-3x+12 | | 3x-7-2x=1 | | 3n+2=-6 | | (-4/5)(15x-5)=28 | | 6y+7.8=42 | | a(34)=-11+7n | | -7+2x+2+3x=10 | | -644=7(-8-7x) | | 6y+78=42 | | -12=2x-3-3x | | 0.2m+0.3(m-5)=13 | | 140=a+b(3) | | 3(x-3)=9x | | 6(2y-1)+5y= | | 8x-8+x=10 | | 3x+16=104 | | 3x+12-2=16 | | -2(6m-5n+9p)= | | 3x^2=2t^3 |

Equations solver categories