0=-4.9t^2+10t+2

Simple and best practice solution for 0=-4.9t^2+10t+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 0=-4.9t^2+10t+2 equation:


Simplifying
0 = -4.9t2 + 10t + 2

Reorder the terms:
0 = 2 + 10t + -4.9t2

Solving
0 = 2 + 10t + -4.9t2

Solving for variable 't'.

Combine like terms: 0 + -2 = -2
-2 + -10t + 4.9t2 = 2 + 10t + -4.9t2 + -2 + -10t + 4.9t2

Reorder the terms:
-2 + -10t + 4.9t2 = 2 + -2 + 10t + -10t + -4.9t2 + 4.9t2

Combine like terms: 2 + -2 = 0
-2 + -10t + 4.9t2 = 0 + 10t + -10t + -4.9t2 + 4.9t2
-2 + -10t + 4.9t2 = 10t + -10t + -4.9t2 + 4.9t2

Combine like terms: 10t + -10t = 0
-2 + -10t + 4.9t2 = 0 + -4.9t2 + 4.9t2
-2 + -10t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
-2 + -10t + 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'.
-0.4081632653 + -2.040816327t + t2 = 0

Move the constant term to the right:

Add '0.4081632653' to each side of the equation.
-0.4081632653 + -2.040816327t + 0.4081632653 + t2 = 0 + 0.4081632653

Reorder the terms:
-0.4081632653 + 0.4081632653 + -2.040816327t + t2 = 0 + 0.4081632653

Combine like terms: -0.4081632653 + 0.4081632653 = 0.0000000000
0.0000000000 + -2.040816327t + t2 = 0 + 0.4081632653
-2.040816327t + t2 = 0 + 0.4081632653

Combine like terms: 0 + 0.4081632653 = 0.4081632653
-2.040816327t + t2 = 0.4081632653

The t term is -2.040816327t.  Take half its coefficient (-1.020408164).
Square it (1.041232821) and add it to both sides.

Add '1.041232821' to each side of the equation.
-2.040816327t + 1.041232821 + t2 = 0.4081632653 + 1.041232821

Reorder the terms:
1.041232821 + -2.040816327t + t2 = 0.4081632653 + 1.041232821

Combine like terms: 0.4081632653 + 1.041232821 = 1.4493960863
1.041232821 + -2.040816327t + t2 = 1.4493960863

Factor a perfect square on the left side:
(t + -1.020408164)(t + -1.020408164) = 1.4493960863

Calculate the square root of the right side: 1.20390867

Break this problem into two subproblems by setting 
(t + -1.020408164) equal to 1.20390867 and -1.20390867.

Subproblem 1

t + -1.020408164 = 1.20390867 Simplifying t + -1.020408164 = 1.20390867 Reorder the terms: -1.020408164 + t = 1.20390867 Solving -1.020408164 + t = 1.20390867 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.020408164' to each side of the equation. -1.020408164 + 1.020408164 + t = 1.20390867 + 1.020408164 Combine like terms: -1.020408164 + 1.020408164 = 0.000000000 0.000000000 + t = 1.20390867 + 1.020408164 t = 1.20390867 + 1.020408164 Combine like terms: 1.20390867 + 1.020408164 = 2.224316834 t = 2.224316834 Simplifying t = 2.224316834

Subproblem 2

t + -1.020408164 = -1.20390867 Simplifying t + -1.020408164 = -1.20390867 Reorder the terms: -1.020408164 + t = -1.20390867 Solving -1.020408164 + t = -1.20390867 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.020408164' to each side of the equation. -1.020408164 + 1.020408164 + t = -1.20390867 + 1.020408164 Combine like terms: -1.020408164 + 1.020408164 = 0.000000000 0.000000000 + t = -1.20390867 + 1.020408164 t = -1.20390867 + 1.020408164 Combine like terms: -1.20390867 + 1.020408164 = -0.183500506 t = -0.183500506 Simplifying t = -0.183500506

Solution

The solution to the problem is based on the solutions from the subproblems. t = {2.224316834, -0.183500506}

See similar equations:

| 15y=14(y+1) | | 7n^2-23n+18=0 | | 2(4x-7)+10=2(x-5)+2(3x+3) | | (V-7)(v+5)=0 | | -10x-5y=20 | | 24x^2y^3-16xy^4= | | 4x-61=-3x-13+15x | | s(t)=-16t^2+120t | | .2=x-200000/x | | -(a-7)+6=5(3-a)-8 | | 2x+x^2+1=63 | | 42-w=157 | | 117=5u+17 | | 28x=40+16x | | 5x^2-15x+40=0 | | 8x+1-9x=70-x+2 | | 4x^2-4x-8=-9 | | x+4v=y | | cos(2x-1)=sin(5x+14) | | y-7=112 | | 4.9=7x+1.4 | | 2x+9=213 | | 2cos^2x=3(sinx+1) | | 312-3x=468-5x | | 3(y-2)+6=2(y-3)-5 | | 3x-18.4=x | | 2c+8=5c-22 | | 8(12y+8)= | | 4x^2-4x-8=16 | | V-8=-4 | | 3(x-8.3)=4.8 | | 204.8=1/3*204.8*h |

Equations solver categories