.3x^2-3x-126=0

Simple and best practice solution for .3x^2-3x-126=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 .3x^2-3x-126=0 equation: 


Simplifying
0.3x2 + -3x + -126 = 0

Reorder the terms:
-126 + -3x + 0.3x2 = 0

Solving
-126 + -3x + 0.3x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.3'.
-420 + -10x + x2 = 0

Move the constant term to the right:

Add '420' to each side of the equation.
-420 + -10x + 420 + x2 = 0 + 420

Reorder the terms:
-420 + 420 + -10x + x2 = 0 + 420

Combine like terms: -420 + 420 = 0
0 + -10x + x2 = 0 + 420
-10x + x2 = 0 + 420

Combine like terms: 0 + 420 = 420
-10x + x2 = 420

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 420 + 25

Reorder the terms:
25 + -10x + x2 = 420 + 25

Combine like terms: 420 + 25 = 445
25 + -10x + x2 = 445

Factor a perfect square on the left side:
(x + -5)(x + -5) = 445

Calculate the square root of the right side: 21.09502311

Break this problem into two subproblems by setting 
(x + -5) equal to 21.09502311 and -21.09502311.


Subproblem 1
x + -5 = 21.09502311

Simplifying
x + -5 = 21.09502311

Reorder the terms:
-5 + x = 21.09502311

Solving
-5 + x = 21.09502311

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 21.09502311 + 5

Combine like terms: -5 + 5 = 0
0 + x = 21.09502311 + 5
x = 21.09502311 + 5

Combine like terms: 21.09502311 + 5 = 26.09502311
x = 26.09502311

Simplifying
x = 26.09502311


Subproblem 2
x + -5 = -21.09502311

Simplifying
x + -5 = -21.09502311

Reorder the terms:
-5 + x = -21.09502311

Solving
-5 + x = -21.09502311

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -21.09502311 + 5

Combine like terms: -5 + 5 = 0
0 + x = -21.09502311 + 5
x = -21.09502311 + 5

Combine like terms: -21.09502311 + 5 = -16.09502311
x = -16.09502311

Simplifying
x = -16.09502311


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {26.09502311, -16.09502311}

See similar equations:

| sin(x+15)cos(x-15)=0.5 | | 36=12t+14-4t | | 8+a=-11 | | 4w-2=11 | | 10x+2=2(5x+6) | | -h-4= | | 3v+3=v-3 | | -6+1=-3(2x+1)+x | | -3(x-1)=-4-7x | | 45.14=6s+3.26 | | sin(x+15)*cos(x-15)=0.5 | | y-13=14x | | 9+5r=-7-8r | | 6r+23=37 | | 4(2-m)-21=m+7 | | R+7=-4 | | 16x+2(3x-4)=7x+22 | | 3G+4=9-7G | | 9r^2+2r-7=0 | | 1505z=-77.5 | | 3s=2s+5 | | 5x=63+-2x | | -X+2=9(y+1) | | 15x^2+72=0 | | 3.5E-9= | | -17=7c+4 | | 6+3(x+1)=2x-10 | | 9-5x+3x+7=70 | | 5a-9-6a-15+7a=12-a-2a+12-3a | | 10y-6y+5y= | | 3(4x-5)-4x=2x+3 | | 6-6k-1=-7 |

Equations solver categories