120x^2+x+15=0

Simple and best practice solution for 120x^2+x+15=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 120x^2+x+15=0 equation: 


Simplifying
120x2 + x + 15 = 0

Reorder the terms:
15 + x + 120x2 = 0

Solving
15 + x + 120x2 = 0

Solving for variable 'x'.

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

Divide each side by '120'.
0.125 + 0.008333333333x + x2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + 0.008333333333x + -0.125 + x2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + 0.008333333333x + x2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + 0.008333333333x + x2 = 0 + -0.125
0.008333333333x + x2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
0.008333333333x + x2 = -0.125

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.008333333333x + 0.25 + x2 = -0.125 + 0.25

Reorder the terms:
0.25 + 0.008333333333x + x2 = -0.125 + 0.25

Combine like terms: -0.125 + 0.25 = 0.125
0.25 + 0.008333333333x + x2 = 0.125

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.125

Calculate the square root of the right side: 0.353553391

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.353553391 and -0.353553391.


Subproblem 1
x + 0.5 = 0.353553391

Simplifying
x + 0.5 = 0.353553391

Reorder the terms:
0.5 + x = 0.353553391

Solving
0.5 + x = 0.353553391

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 0.353553391 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 0.353553391 + -0.5
x = 0.353553391 + -0.5

Combine like terms: 0.353553391 + -0.5 = -0.146446609
x = -0.146446609

Simplifying
x = -0.146446609


Subproblem 2
x + 0.5 = -0.353553391

Simplifying
x + 0.5 = -0.353553391

Reorder the terms:
0.5 + x = -0.353553391

Solving
0.5 + x = -0.353553391

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -0.353553391 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -0.353553391 + -0.5
x = -0.353553391 + -0.5

Combine like terms: -0.353553391 + -0.5 = -0.853553391
x = -0.853553391

Simplifying
x = -0.853553391


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.146446609, -0.853553391}

See similar equations:

| X^2-4.7x+2.8=0 | | 9x+4=x-9 | | 3x+12=-39 | | t^2+17t-210=0 | | 7(x+3)=3(x+7) | | (8+i)(6-i)=13 | | 20-3(n+6)= | | 17=3a | | b(30b+1)=20 | | (3b+5)+(d-2)= | | 13s=15 | | 3x^2+5(x^2+4)= | | 2x+21=3x-4 | | 3x=80-x | | 20r^2-r=30 | | 5x+(-15x)=9(20) | | (4y+9)(6y-1)= | | t^2-19t+18= | | -2b=4 | | 9x-18=80 | | s^2=-24-10 | | -11=-10n | | 64x^2-128+55=0 | | 16x-143=6x-13 | | -10*x=-480 | | 48-6x=3x+23 | | 7-8x=171-36x | | 12x^2-156x+144=0 | | 6v(11v+5)= | | -6(2y)+4(4y)=50-18 | | 7-7x=45-21x | | -7=x-15 |

Equations solver categories