4.9x^2+34.3x+1.5=0

Simple and best practice solution for 4.9x^2+34.3x+1.5=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+34.3x+1.5=0 equation: 


Simplifying
4.9x2 + 34.3x + 1.5 = 0

Reorder the terms:
1.5 + 34.3x + 4.9x2 = 0

Solving
1.5 + 34.3x + 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'.
0.306122449 + 7x + x2 = 0

Move the constant term to the right:

Add '-0.306122449' to each side of the equation.
0.306122449 + 7x + -0.306122449 + x2 = 0 + -0.306122449

Reorder the terms:
0.306122449 + -0.306122449 + 7x + x2 = 0 + -0.306122449

Combine like terms: 0.306122449 + -0.306122449 = 0.000000000
0.000000000 + 7x + x2 = 0 + -0.306122449
7x + x2 = 0 + -0.306122449

Combine like terms: 0 + -0.306122449 = -0.306122449
7x + x2 = -0.306122449

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -0.306122449 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -0.306122449 + 12.25

Combine like terms: -0.306122449 + 12.25 = 11.943877551
12.25 + 7x + x2 = 11.943877551

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 11.943877551

Calculate the square root of the right side: 3.455991544

Break this problem into two subproblems by setting 
(x + 3.5) equal to 3.455991544 and -3.455991544.


Subproblem 1
x + 3.5 = 3.455991544

Simplifying
x + 3.5 = 3.455991544

Reorder the terms:
3.5 + x = 3.455991544

Solving
3.5 + x = 3.455991544

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = 3.455991544 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = 3.455991544 + -3.5
x = 3.455991544 + -3.5

Combine like terms: 3.455991544 + -3.5 = -0.044008456
x = -0.044008456

Simplifying
x = -0.044008456


Subproblem 2
x + 3.5 = -3.455991544

Simplifying
x + 3.5 = -3.455991544

Reorder the terms:
3.5 + x = -3.455991544

Solving
3.5 + x = -3.455991544

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = -3.455991544 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = -3.455991544 + -3.5
x = -3.455991544 + -3.5

Combine like terms: -3.455991544 + -3.5 = -6.955991544
x = -6.955991544

Simplifying
x = -6.955991544


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.044008456, -6.955991544}

See similar equations:

| (1+4x^2)=0 | | 12=6+0.75x | | 16^(1/2)=x | | 2x-6=5y | | 16^1/2=x | | 8(y-5)=-2(3+y) | | 7-5x=11-3x | | 704=-16t^2+112t+704 | | 7x+2(x+10)=83 | | 4/6=x/15 | | x^3+18x^2+48x=0 | | n/4=5/2 | | -1/5*w-7/3=-5/2 | | log(x+6)-log(x-3)=1 | | -2t^2+t+10=0 | | X^(1/2)=162754 | | 3x+26=y | | 3x+2(7x-18)=151 | | -2t+t+10=0 | | X^1/2=162754 | | v/19.2=6 | | (2)/(6x-3) | | 2x^2+10x+25=7 | | 3.75=x/3 | | 3x^2-13x-18=0 | | 6x/2 | | 5y+8=5x-16 | | 70=(x-5)+(x+2)+(2x+1)+(x-3x) | | (x+5)+(4x-50)=180 | | 3b-127.32=10.56 | | 10x+5+4a=9 | | 2y+6xy= |

Equations solver categories