4.9x^2-3x-2=0

Simple and best practice solution for 4.9x^2-3x-2=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 4.9x^2-3x-2=0 equation: 


Simplifying
4.9x2 + -3x + -2 = 0

Reorder the terms:
-2 + -3x + 4.9x2 = 0

Solving
-2 + -3x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
-0.4081632653 + -0.612244898x + x2 = 0

Move the constant term to the right:

Add '0.4081632653' to each side of the equation.
-0.4081632653 + -0.612244898x + 0.4081632653 + x2 = 0 + 0.4081632653

Reorder the terms:
-0.4081632653 + 0.4081632653 + -0.612244898x + x2 = 0 + 0.4081632653

Combine like terms: -0.4081632653 + 0.4081632653 = 0.0000000000
0.0000000000 + -0.612244898x + x2 = 0 + 0.4081632653
-0.612244898x + x2 = 0 + 0.4081632653

Combine like terms: 0 + 0.4081632653 = 0.4081632653
-0.612244898x + x2 = 0.4081632653

The x term is -0.612244898x.  Take half its coefficient (-0.306122449).
Square it (0.09371095378) and add it to both sides.

Add '0.09371095378' to each side of the equation.
-0.612244898x + 0.09371095378 + x2 = 0.4081632653 + 0.09371095378

Reorder the terms:
0.09371095378 + -0.612244898x + x2 = 0.4081632653 + 0.09371095378

Combine like terms: 0.4081632653 + 0.09371095378 = 0.50187421908
0.09371095378 + -0.612244898x + x2 = 0.50187421908

Factor a perfect square on the left side:
(x + -0.306122449)(x + -0.306122449) = 0.50187421908

Calculate the square root of the right side: 0.708430815

Break this problem into two subproblems by setting 
(x + -0.306122449) equal to 0.708430815 and -0.708430815.


Subproblem 1
x + -0.306122449 = 0.708430815

Simplifying
x + -0.306122449 = 0.708430815

Reorder the terms:
-0.306122449 + x = 0.708430815

Solving
-0.306122449 + x = 0.708430815

Solving for variable 'x'.

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

Add '0.306122449' to each side of the equation.
-0.306122449 + 0.306122449 + x = 0.708430815 + 0.306122449

Combine like terms: -0.306122449 + 0.306122449 = 0.000000000
0.000000000 + x = 0.708430815 + 0.306122449
x = 0.708430815 + 0.306122449

Combine like terms: 0.708430815 + 0.306122449 = 1.014553264
x = 1.014553264

Simplifying
x = 1.014553264


Subproblem 2
x + -0.306122449 = -0.708430815

Simplifying
x + -0.306122449 = -0.708430815

Reorder the terms:
-0.306122449 + x = -0.708430815

Solving
-0.306122449 + x = -0.708430815

Solving for variable 'x'.

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

Add '0.306122449' to each side of the equation.
-0.306122449 + 0.306122449 + x = -0.708430815 + 0.306122449

Combine like terms: -0.306122449 + 0.306122449 = 0.000000000
0.000000000 + x = -0.708430815 + 0.306122449
x = -0.708430815 + 0.306122449

Combine like terms: -0.708430815 + 0.306122449 = -0.402308366
x = -0.402308366

Simplifying
x = -0.402308366


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.014553264, -0.402308366}

See similar equations:

| 3g+4(-3+2g)=1-g | | -3(x+4)-4x+1= | | x^2y^3=16y^3 | | v/5+2=-8 | | -3y+10=7y | | 5/3x+4=19 | | 0.50r+6=25.80 | | 4a-5*6= | | 9w-4(3w-5(w+6))= | | 5u=-5+4u | | 4x^2-29-63=0 | | 9(x+1)-(2x+13)= | | -(-7x-3)+7(-5x-4)=-53 | | 6y+12+2y=10-24y-6 | | 5x-4=6x-9 | | 15=y-3 | | -0.8x=0.533 | | 5(3^2x)=5/27 | | -4+7x= | | 20x(-5x)=22 | | 13=18-n | | -7(z+5)+3z= | | 3r-12r=18 | | 9(6c-1)-4=52c+9 | | 4(5+x)=16 | | 5b+4b=18 | | 3.7-y=6.93 | | -5a-12a+2b-3b= | | -(4+7x)= | | 2t*14=-1 | | 7(n-4)=-46+7n | | 5j-3j-1=17 |

Equations solver categories