0=-16t^2+140t+37

Simple and best practice solution for 0=-16t^2+140t+37 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=-16t^2+140t+37 equation:


Simplifying
0 = -16t2 + 140t + 37

Reorder the terms:
0 = 37 + 140t + -16t2

Solving
0 = 37 + 140t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -37 = -37
-37 + -140t + 16t2 = 37 + 140t + -16t2 + -37 + -140t + 16t2

Reorder the terms:
-37 + -140t + 16t2 = 37 + -37 + 140t + -140t + -16t2 + 16t2

Combine like terms: 37 + -37 = 0
-37 + -140t + 16t2 = 0 + 140t + -140t + -16t2 + 16t2
-37 + -140t + 16t2 = 140t + -140t + -16t2 + 16t2

Combine like terms: 140t + -140t = 0
-37 + -140t + 16t2 = 0 + -16t2 + 16t2
-37 + -140t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-37 + -140t + 16t2 = 0

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

Divide each side by '16'.
-2.3125 + -8.75t + t2 = 0

Move the constant term to the right:

Add '2.3125' to each side of the equation.
-2.3125 + -8.75t + 2.3125 + t2 = 0 + 2.3125

Reorder the terms:
-2.3125 + 2.3125 + -8.75t + t2 = 0 + 2.3125

Combine like terms: -2.3125 + 2.3125 = 0.0000
0.0000 + -8.75t + t2 = 0 + 2.3125
-8.75t + t2 = 0 + 2.3125

Combine like terms: 0 + 2.3125 = 2.3125
-8.75t + t2 = 2.3125

The t term is -8.75t.  Take half its coefficient (-4.375).
Square it (19.140625) and add it to both sides.

Add '19.140625' to each side of the equation.
-8.75t + 19.140625 + t2 = 2.3125 + 19.140625

Reorder the terms:
19.140625 + -8.75t + t2 = 2.3125 + 19.140625

Combine like terms: 2.3125 + 19.140625 = 21.453125
19.140625 + -8.75t + t2 = 21.453125

Factor a perfect square on the left side:
(t + -4.375)(t + -4.375) = 21.453125

Calculate the square root of the right side: 4.631751828

Break this problem into two subproblems by setting 
(t + -4.375) equal to 4.631751828 and -4.631751828.

Subproblem 1

t + -4.375 = 4.631751828 Simplifying t + -4.375 = 4.631751828 Reorder the terms: -4.375 + t = 4.631751828 Solving -4.375 + t = 4.631751828 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.375' to each side of the equation. -4.375 + 4.375 + t = 4.631751828 + 4.375 Combine like terms: -4.375 + 4.375 = 0.000 0.000 + t = 4.631751828 + 4.375 t = 4.631751828 + 4.375 Combine like terms: 4.631751828 + 4.375 = 9.006751828 t = 9.006751828 Simplifying t = 9.006751828

Subproblem 2

t + -4.375 = -4.631751828 Simplifying t + -4.375 = -4.631751828 Reorder the terms: -4.375 + t = -4.631751828 Solving -4.375 + t = -4.631751828 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.375' to each side of the equation. -4.375 + 4.375 + t = -4.631751828 + 4.375 Combine like terms: -4.375 + 4.375 = 0.000 0.000 + t = -4.631751828 + 4.375 t = -4.631751828 + 4.375 Combine like terms: -4.631751828 + 4.375 = -0.256751828 t = -0.256751828 Simplifying t = -0.256751828

Solution

The solution to the problem is based on the solutions from the subproblems. t = {9.006751828, -0.256751828}

See similar equations:

| 3x-lnx^4=0 | | 14y+7=21y+12 | | 7y+5=21y+12 | | 1000*5.25%= | | 1000*6.00%= | | 4x^2=80-400 | | 6y-17=43 | | -8(u+2)=-64 | | 2x+2.4=5.4 | | x^2+13x+42=(x+g)(x+h) | | 19+n=12 | | 6x-3+5(2x-2)=4(2x+3)-(4-x) | | 2e^4x-2=12 | | 81-m^2= | | 2(10-x)=6 | | -49=-u/7 | | 1-3/8 | | 3/8-5/16 | | 3+11x=-17+x | | -35=-25t | | 3=-6+y | | 18x+18=0 | | 9x+1=3x^2-15-x^2-2x-3x-6 | | 4x^2-18=-54 | | 3.54=lnx | | 6z+7=2z+25 | | 6Inx=1 | | 8k^2-48k=0 | | y=8x+-14 | | 4x+20y=12 | | 2x+10+2x=42 | | 6y-17=2 |

Equations solver categories