-.921=-3.16*t+.5*-9.8t^2

Simple and best practice solution for -.921=-3.16*t+.5*-9.8t^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 -.921=-3.16*t+.5*-9.8t^2 equation:


Simplifying
-0.921 = -3.16t + 0.5 * -9.8t2

Multiply 0.5 * -9.8
-0.921 = -3.16t + -4.9t2

Solving
-0.921 = -3.16t + -4.9t2

Solving for variable 't'.

Reorder the terms:
-0.921 + 3.16t + 4.9t2 = -3.16t + 3.16t + -4.9t2 + 4.9t2

Combine like terms: -3.16t + 3.16t = 0.00
-0.921 + 3.16t + 4.9t2 = 0.00 + -4.9t2 + 4.9t2
-0.921 + 3.16t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
-0.921 + 3.16t + 4.9t2 = 0.0

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

Divide each side by '4.9'.
-0.1879591837 + 0.6448979592t + t2 = 0

Move the constant term to the right:

Add '0.1879591837' to each side of the equation.
-0.1879591837 + 0.6448979592t + 0.1879591837 + t2 = 0 + 0.1879591837

Reorder the terms:
-0.1879591837 + 0.1879591837 + 0.6448979592t + t2 = 0 + 0.1879591837

Combine like terms: -0.1879591837 + 0.1879591837 = 0.0000000000
0.0000000000 + 0.6448979592t + t2 = 0 + 0.1879591837
0.6448979592t + t2 = 0 + 0.1879591837

Combine like terms: 0 + 0.1879591837 = 0.1879591837
0.6448979592t + t2 = 0.1879591837

The t term is 0.6448979592t.  Take half its coefficient (0.3224489796).
Square it (0.1039733444) and add it to both sides.

Add '0.1039733444' to each side of the equation.
0.6448979592t + 0.1039733444 + t2 = 0.1879591837 + 0.1039733444

Reorder the terms:
0.1039733444 + 0.6448979592t + t2 = 0.1879591837 + 0.1039733444

Combine like terms: 0.1879591837 + 0.1039733444 = 0.2919325281
0.1039733444 + 0.6448979592t + t2 = 0.2919325281

Factor a perfect square on the left side:
(t + 0.3224489796)(t + 0.3224489796) = 0.2919325281

Calculate the square root of the right side: 0.540307809

Break this problem into two subproblems by setting 
(t + 0.3224489796) equal to 0.540307809 and -0.540307809.

Subproblem 1

t + 0.3224489796 = 0.540307809 Simplifying t + 0.3224489796 = 0.540307809 Reorder the terms: 0.3224489796 + t = 0.540307809 Solving 0.3224489796 + t = 0.540307809 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3224489796' to each side of the equation. 0.3224489796 + -0.3224489796 + t = 0.540307809 + -0.3224489796 Combine like terms: 0.3224489796 + -0.3224489796 = 0.0000000000 0.0000000000 + t = 0.540307809 + -0.3224489796 t = 0.540307809 + -0.3224489796 Combine like terms: 0.540307809 + -0.3224489796 = 0.2178588294 t = 0.2178588294 Simplifying t = 0.2178588294

Subproblem 2

t + 0.3224489796 = -0.540307809 Simplifying t + 0.3224489796 = -0.540307809 Reorder the terms: 0.3224489796 + t = -0.540307809 Solving 0.3224489796 + t = -0.540307809 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3224489796' to each side of the equation. 0.3224489796 + -0.3224489796 + t = -0.540307809 + -0.3224489796 Combine like terms: 0.3224489796 + -0.3224489796 = 0.0000000000 0.0000000000 + t = -0.540307809 + -0.3224489796 t = -0.540307809 + -0.3224489796 Combine like terms: -0.540307809 + -0.3224489796 = -0.8627567886 t = -0.8627567886 Simplifying t = -0.8627567886

Solution

The solution to the problem is based on the solutions from the subproblems. t = {0.2178588294, -0.8627567886}

See similar equations:

| 15x^5-9x^2+18x= | | 7(x-2)=54 | | 3x-7=9+8 | | -.921=-3.78*t+.5*-9.8t^2 | | 15x^5-9x^2+18z= | | 5x^2+3x-2=5 | | -.921=3.78*t+.5*-9.8t^2 | | 3(g-6)=2(h-2g) | | 4x+13=9x-12 | | y=sin*(2x) | | -7x^5+x^7= | | -3(2x+1)=11 | | (x+3)(x-5)+7=0 | | -7x^5+x^9= | | y-12=71/3 | | 9y-81-(y+6)(y-5)= | | 12x+13=9x-12 | | -.921=.5*-9.8t^2 | | 180=(5x+3y)-(3x+20)-(10y+30) | | x^2-8x-4m=0 | | 3b+5a=26.90 | | 4*2*x+(7*x)=294 | | a^4-a^2-42= | | 8x-6x+3=21 | | 0.6x^2+1.2x-48=0 | | .680=.5*6.91*t^2 | | 9/0.3 | | X/5=-7/3 | | 7(x-2)-13=8 | | -7+3(-8x+8)=-14 | | (2-x)+4= | | 10x-5+2x=5 |

Equations solver categories