0=-4.9t^2-8t+126

Simple and best practice solution for 0=-4.9t^2-8t+126 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^2-8t+126 equation:


Simplifying
0 = -4.9t2 + -8t + 126

Reorder the terms:
0 = 126 + -8t + -4.9t2

Solving
0 = 126 + -8t + -4.9t2

Solving for variable 't'.

Combine like terms: 0 + -126 = -126
-126 + 8t + 4.9t2 = 126 + -8t + -4.9t2 + -126 + 8t + 4.9t2

Reorder the terms:
-126 + 8t + 4.9t2 = 126 + -126 + -8t + 8t + -4.9t2 + 4.9t2

Combine like terms: 126 + -126 = 0
-126 + 8t + 4.9t2 = 0 + -8t + 8t + -4.9t2 + 4.9t2
-126 + 8t + 4.9t2 = -8t + 8t + -4.9t2 + 4.9t2

Combine like terms: -8t + 8t = 0
-126 + 8t + 4.9t2 = 0 + -4.9t2 + 4.9t2
-126 + 8t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
-126 + 8t + 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'.
-25.71428571 + 1.632653061t + t2 = 0

Move the constant term to the right:

Add '25.71428571' to each side of the equation.
-25.71428571 + 1.632653061t + 25.71428571 + t2 = 0 + 25.71428571

Reorder the terms:
-25.71428571 + 25.71428571 + 1.632653061t + t2 = 0 + 25.71428571

Combine like terms: -25.71428571 + 25.71428571 = 0.00000000
0.00000000 + 1.632653061t + t2 = 0 + 25.71428571
1.632653061t + t2 = 0 + 25.71428571

Combine like terms: 0 + 25.71428571 = 25.71428571
1.632653061t + t2 = 25.71428571

The t term is 1.632653061t.  Take half its coefficient (0.8163265305).
Square it (0.6663890044) and add it to both sides.

Add '0.6663890044' to each side of the equation.
1.632653061t + 0.6663890044 + t2 = 25.71428571 + 0.6663890044

Reorder the terms:
0.6663890044 + 1.632653061t + t2 = 25.71428571 + 0.6663890044

Combine like terms: 25.71428571 + 0.6663890044 = 26.3806747144
0.6663890044 + 1.632653061t + t2 = 26.3806747144

Factor a perfect square on the left side:
(t + 0.8163265305)(t + 0.8163265305) = 26.3806747144

Calculate the square root of the right side: 5.136212098

Break this problem into two subproblems by setting 
(t + 0.8163265305) equal to 5.136212098 and -5.136212098.

Subproblem 1

t + 0.8163265305 = 5.136212098 Simplifying t + 0.8163265305 = 5.136212098 Reorder the terms: 0.8163265305 + t = 5.136212098 Solving 0.8163265305 + t = 5.136212098 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8163265305' to each side of the equation. 0.8163265305 + -0.8163265305 + t = 5.136212098 + -0.8163265305 Combine like terms: 0.8163265305 + -0.8163265305 = 0.0000000000 0.0000000000 + t = 5.136212098 + -0.8163265305 t = 5.136212098 + -0.8163265305 Combine like terms: 5.136212098 + -0.8163265305 = 4.3198855675 t = 4.3198855675 Simplifying t = 4.3198855675

Subproblem 2

t + 0.8163265305 = -5.136212098 Simplifying t + 0.8163265305 = -5.136212098 Reorder the terms: 0.8163265305 + t = -5.136212098 Solving 0.8163265305 + t = -5.136212098 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8163265305' to each side of the equation. 0.8163265305 + -0.8163265305 + t = -5.136212098 + -0.8163265305 Combine like terms: 0.8163265305 + -0.8163265305 = 0.0000000000 0.0000000000 + t = -5.136212098 + -0.8163265305 t = -5.136212098 + -0.8163265305 Combine like terms: -5.136212098 + -0.8163265305 = -5.9525386285 t = -5.9525386285 Simplifying t = -5.9525386285

Solution

The solution to the problem is based on the solutions from the subproblems. t = {4.3198855675, -5.9525386285}

See similar equations:

| 10x+-4(x+5)=6x+-16 | | 8x^2+2x^4= | | Sinx=cos(3x+20) | | 9(5v+2)=17 | | 7=3/y-6 | | 2v*2^1/2 | | 10-(2n-1)=7-3n | | 6g-3g=1 | | -6(4x-8)=-24x+18 | | 7y^2+31y-20=0 | | 4x-2(9)= | | 6.4-y=62/5 | | 4x-9x-8=-5x+5-8 | | -2x-1+kx=3k | | G/6=5 | | (5x-18)+(4x+7)=-7 | | 4(2a+4)=-3a-17 | | 5x^3-5x^2= | | =7/5x+5 | | 4(2v+4)=-3a-17 | | 20=7+a | | 4-7(1/2) | | 2(x+10)+5+x-10=90 | | 3x^2-32x+73=0 | | -6-5a=-(2+4a)-7 | | 5m^4n-m^3n^2= | | 12•1/3= | | 10p+16= | | 14=(2w-3)w | | 4-7(1/2)= | | 4u-7=5(3-u)-4 | | -3h-9= |

Equations solver categories