14=-16t^2+88t+50

Simple and best practice solution for 14=-16t^2+88t+50 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 14=-16t^2+88t+50 equation:


Simplifying
14 = -16t2 + 88t + 50

Reorder the terms:
14 = 50 + 88t + -16t2

Solving
14 = 50 + 88t + -16t2

Solving for variable 't'.

Combine like terms: 14 + -50 = -36
-36 + -88t + 16t2 = 50 + 88t + -16t2 + -50 + -88t + 16t2

Reorder the terms:
-36 + -88t + 16t2 = 50 + -50 + 88t + -88t + -16t2 + 16t2

Combine like terms: 50 + -50 = 0
-36 + -88t + 16t2 = 0 + 88t + -88t + -16t2 + 16t2
-36 + -88t + 16t2 = 88t + -88t + -16t2 + 16t2

Combine like terms: 88t + -88t = 0
-36 + -88t + 16t2 = 0 + -16t2 + 16t2
-36 + -88t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-36 + -88t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + -22t + 4t2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-9 + -22t + 4t2)' equal to zero and attempt to solve: Simplifying -9 + -22t + 4t2 = 0 Solving -9 + -22t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -2.25 + -5.5t + t2 = 0 Move the constant term to the right: Add '2.25' to each side of the equation. -2.25 + -5.5t + 2.25 + t2 = 0 + 2.25 Reorder the terms: -2.25 + 2.25 + -5.5t + t2 = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + -5.5t + t2 = 0 + 2.25 -5.5t + t2 = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 -5.5t + t2 = 2.25 The t term is -5.5t. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5t + 7.5625 + t2 = 2.25 + 7.5625 Reorder the terms: 7.5625 + -5.5t + t2 = 2.25 + 7.5625 Combine like terms: 2.25 + 7.5625 = 9.8125 7.5625 + -5.5t + t2 = 9.8125 Factor a perfect square on the left side: (t + -2.75)(t + -2.75) = 9.8125 Calculate the square root of the right side: 3.132491022 Break this problem into two subproblems by setting (t + -2.75) equal to 3.132491022 and -3.132491022.

Subproblem 1

t + -2.75 = 3.132491022 Simplifying t + -2.75 = 3.132491022 Reorder the terms: -2.75 + t = 3.132491022 Solving -2.75 + t = 3.132491022 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.75' to each side of the equation. -2.75 + 2.75 + t = 3.132491022 + 2.75 Combine like terms: -2.75 + 2.75 = 0.00 0.00 + t = 3.132491022 + 2.75 t = 3.132491022 + 2.75 Combine like terms: 3.132491022 + 2.75 = 5.882491022 t = 5.882491022 Simplifying t = 5.882491022

Subproblem 2

t + -2.75 = -3.132491022 Simplifying t + -2.75 = -3.132491022 Reorder the terms: -2.75 + t = -3.132491022 Solving -2.75 + t = -3.132491022 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.75' to each side of the equation. -2.75 + 2.75 + t = -3.132491022 + 2.75 Combine like terms: -2.75 + 2.75 = 0.00 0.00 + t = -3.132491022 + 2.75 t = -3.132491022 + 2.75 Combine like terms: -3.132491022 + 2.75 = -0.382491022 t = -0.382491022 Simplifying t = -0.382491022

Solution

The solution to the problem is based on the solutions from the subproblems. t = {5.882491022, -0.382491022}

Solution

t = {5.882491022, -0.382491022}

See similar equations:

| 1/2(6n-4n3) | | -4s-3=-19 | | 4x-14=5x+6 | | 16=-3.75*-4+b | | x+3y=220000 | | 7x^2+15x-52=-16x+19 | | b=a*-4+16 | | 2.78x^2=4225 | | 2.6x^2=4225 | | 8x(2c+4)= | | (x+4)(7x-13)=-16x+19 | | 7x(-6d+5)= | | -10(s+3)=15 | | 1-10=8 | | z^2-(4-2i)z-8i=0 | | 441x^2-42x+1=0 | | (2x-4x^2)/(6x) | | 4x^2-20x+25-x^2+4x+4=0 | | 5x*6xy= | | 5(x-1)=5-2(x-3) | | 16=a*-4+b | | logx=22500 | | 16/4×x=2 | | 65*100/2 | | 5xy*5x= | | p-q=16 | | 16=4*(-4)+b | | (4x-6)*(4x+6)= | | 16=a*(-4)+b | | http://www.geteasysolution.com/3a-16=a-4 | | 20*52/100 | | 0.25*40*1.25*0.8=n |

Equations solver categories