-4.9t^2+42t-20=0

Simple and best practice solution for -4.9t^2+42t-20=0 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 -4.9t^2+42t-20=0 equation: 


Simplifying
-4.9t2 + 42t + -20 = 0

Reorder the terms:
-20 + 42t + -4.9t2 = 0

Solving
-20 + 42t + -4.9t2 = 0

Solving for variable 't'.

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

Divide each side by '-4.9'.
4.081632653 + -8.571428571t + t2 = 0

Move the constant term to the right:

Add '-4.081632653' to each side of the equation.
4.081632653 + -8.571428571t + -4.081632653 + t2 = 0 + -4.081632653

Reorder the terms:
4.081632653 + -4.081632653 + -8.571428571t + t2 = 0 + -4.081632653

Combine like terms: 4.081632653 + -4.081632653 = 0.000000000
0.000000000 + -8.571428571t + t2 = 0 + -4.081632653
-8.571428571t + t2 = 0 + -4.081632653

Combine like terms: 0 + -4.081632653 = -4.081632653
-8.571428571t + t2 = -4.081632653

The t term is -8.571428571t.  Take half its coefficient (-4.285714286).
Square it (18.36734694) and add it to both sides.

Add '18.36734694' to each side of the equation.
-8.571428571t + 18.36734694 + t2 = -4.081632653 + 18.36734694

Reorder the terms:
18.36734694 + -8.571428571t + t2 = -4.081632653 + 18.36734694

Combine like terms: -4.081632653 + 18.36734694 = 14.285714287
18.36734694 + -8.571428571t + t2 = 14.285714287

Factor a perfect square on the left side:
(t + -4.285714286)(t + -4.285714286) = 14.285714287

Calculate the square root of the right side: 3.77964473

Break this problem into two subproblems by setting 
(t + -4.285714286) equal to 3.77964473 and -3.77964473.


Subproblem 1
t + -4.285714286 = 3.77964473

Simplifying
t + -4.285714286 = 3.77964473

Reorder the terms:
-4.285714286 + t = 3.77964473

Solving
-4.285714286 + t = 3.77964473

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '4.285714286' to each side of the equation.
-4.285714286 + 4.285714286 + t = 3.77964473 + 4.285714286

Combine like terms: -4.285714286 + 4.285714286 = 0.000000000
0.000000000 + t = 3.77964473 + 4.285714286
t = 3.77964473 + 4.285714286

Combine like terms: 3.77964473 + 4.285714286 = 8.065359016
t = 8.065359016

Simplifying
t = 8.065359016


Subproblem 2
t + -4.285714286 = -3.77964473

Simplifying
t + -4.285714286 = -3.77964473

Reorder the terms:
-4.285714286 + t = -3.77964473

Solving
-4.285714286 + t = -3.77964473

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '4.285714286' to each side of the equation.
-4.285714286 + 4.285714286 + t = -3.77964473 + 4.285714286

Combine like terms: -4.285714286 + 4.285714286 = 0.000000000
0.000000000 + t = -3.77964473 + 4.285714286
t = -3.77964473 + 4.285714286

Combine like terms: -3.77964473 + 4.285714286 = 0.506069556
t = 0.506069556

Simplifying
t = 0.506069556


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {8.065359016, 0.506069556}

See similar equations:

| 100[0.04(x+7)]= | | 6.6+1.3=3.22 | | 14-9k=-4 | | 3y-1=10x-19 | | 378=469 | | -5.7(3y+5)-1.8(2y-6)= | | -0.2k=-18 | | 9x-5=y+15 | | -18=-0.2k | | Xlogy^3=2 | | a^8xa^(1/5) | | 3.6*0.12= | | 3x/5-x=x/10/5/2 | | 9/10×(-2/3) | | 3z+8=2w+22 | | 9w=9squared(9+2) | | y^2=4y-x^2 | | X+7=-40 | | -5/2(y-10)-1/4y | | x-4=14+4x | | 35x-14=91 | | (45.4)2/((3.2)2x(5.6)3) | | b=20lnb | | 2+11i=8+12i+6(-1)+(-I) | | f(x)=-2x^2+9 | | -5y+-9=-1(y+1) | | 16-3p=.666666666666666666p+5 | | (2t)(2t)-2t=12 | | -3(3-x)=-15 | | 0.14n+0.05(2475-n)=0.07(2475) | | (5x+8)+(6x+73)= | | 20logx=9 |

Equations solver categories