-.84=5.66t-4.9t^2

Simple and best practice solution for -.84=5.66t-4.9t^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 -.84=5.66t-4.9t^2 equation:


Simplifying
-0.84 = 5.66t + -4.9t2

Solving
-0.84 = 5.66t + -4.9t2

Solving for variable 't'.

Reorder the terms:
-0.84 + -5.66t + 4.9t2 = 5.66t + -5.66t + -4.9t2 + 4.9t2

Combine like terms: 5.66t + -5.66t = 0.00
-0.84 + -5.66t + 4.9t2 = 0.00 + -4.9t2 + 4.9t2
-0.84 + -5.66t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
-0.84 + -5.66t + 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'.
-0.1714285714 + -1.155102041t + t2 = 0

Move the constant term to the right:

Add '0.1714285714' to each side of the equation.
-0.1714285714 + -1.155102041t + 0.1714285714 + t2 = 0 + 0.1714285714

Reorder the terms:
-0.1714285714 + 0.1714285714 + -1.155102041t + t2 = 0 + 0.1714285714

Combine like terms: -0.1714285714 + 0.1714285714 = 0.0000000000
0.0000000000 + -1.155102041t + t2 = 0 + 0.1714285714
-1.155102041t + t2 = 0 + 0.1714285714

Combine like terms: 0 + 0.1714285714 = 0.1714285714
-1.155102041t + t2 = 0.1714285714

The t term is -1.155102041t.  Take half its coefficient (-0.5775510205).
Square it (0.3335651813) and add it to both sides.

Add '0.3335651813' to each side of the equation.
-1.155102041t + 0.3335651813 + t2 = 0.1714285714 + 0.3335651813

Reorder the terms:
0.3335651813 + -1.155102041t + t2 = 0.1714285714 + 0.3335651813

Combine like terms: 0.1714285714 + 0.3335651813 = 0.5049937527
0.3335651813 + -1.155102041t + t2 = 0.5049937527

Factor a perfect square on the left side:
(t + -0.5775510205)(t + -0.5775510205) = 0.5049937527

Calculate the square root of the right side: 0.710629125

Break this problem into two subproblems by setting 
(t + -0.5775510205) equal to 0.710629125 and -0.710629125.

Subproblem 1

t + -0.5775510205 = 0.710629125 Simplifying t + -0.5775510205 = 0.710629125 Reorder the terms: -0.5775510205 + t = 0.710629125 Solving -0.5775510205 + t = 0.710629125 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5775510205' to each side of the equation. -0.5775510205 + 0.5775510205 + t = 0.710629125 + 0.5775510205 Combine like terms: -0.5775510205 + 0.5775510205 = 0.0000000000 0.0000000000 + t = 0.710629125 + 0.5775510205 t = 0.710629125 + 0.5775510205 Combine like terms: 0.710629125 + 0.5775510205 = 1.2881801455 t = 1.2881801455 Simplifying t = 1.2881801455

Subproblem 2

t + -0.5775510205 = -0.710629125 Simplifying t + -0.5775510205 = -0.710629125 Reorder the terms: -0.5775510205 + t = -0.710629125 Solving -0.5775510205 + t = -0.710629125 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5775510205' to each side of the equation. -0.5775510205 + 0.5775510205 + t = -0.710629125 + 0.5775510205 Combine like terms: -0.5775510205 + 0.5775510205 = 0.0000000000 0.0000000000 + t = -0.710629125 + 0.5775510205 t = -0.710629125 + 0.5775510205 Combine like terms: -0.710629125 + 0.5775510205 = -0.1330781045 t = -0.1330781045 Simplifying t = -0.1330781045

Solution

The solution to the problem is based on the solutions from the subproblems. t = {1.2881801455, -0.1330781045}

See similar equations:

| 6p^2+19p-7=0 | | 14/3-1/12= | | 5x-8=14x+6 | | 36x^2+23x-3=0 | | a+(-a)=0 | | -2m=6 | | 8t^2-9t=0 | | 31-9h=-3(4h+5) | | 3(n+1)=27 | | 3x^(-1/2)=27 | | a/3+7=16 | | 4n+2(n+5)=-22 | | 22+1x=37+6x | | 3x^-1/2=27 | | 6a+7=43 | | 4n+2(n+5)=22 | | 19=7c-3c | | 2.8+10m=8.43 | | 3x+2y=1.01 | | -p=-2p+6 | | k-9/3=11 | | y+(2y-9)-(y+18)=75 | | 0.04x+0.07(17000-x)=710 | | 3m+2(17-m)=52 | | y=(6-x)/3 | | 4x+2=-12 | | -8=-9-9q | | x-(2x-8)=5 | | X/4+2=9 | | 2(.5)+7=-8(.5)-9+10(.5) | | a/4-9=-4 | | 3000-15000= |

Equations solver categories