3x^2-4x-2520=0

Simple and best practice solution for 3x^2-4x-2520=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^2-4x-2520=0 equation: 


Simplifying
3x2 + -4x + -2520 = 0

Reorder the terms:
-2520 + -4x + 3x2 = 0

Solving
-2520 + -4x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-840 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '840' to each side of the equation.
-840 + -1.333333333x + 840 + x2 = 0 + 840

Reorder the terms:
-840 + 840 + -1.333333333x + x2 = 0 + 840

Combine like terms: -840 + 840 = 0
0 + -1.333333333x + x2 = 0 + 840
-1.333333333x + x2 = 0 + 840

Combine like terms: 0 + 840 = 840
-1.333333333x + x2 = 840

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = 840 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = 840 + 0.4444444442

Combine like terms: 840 + 0.4444444442 = 840.4444444442
0.4444444442 + -1.333333333x + x2 = 840.4444444442

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = 840.4444444442

Calculate the square root of the right side: 28.990419874

Break this problem into two subproblems by setting 
(x + -0.6666666665) equal to 28.990419874 and -28.990419874.


Subproblem 1
x + -0.6666666665 = 28.990419874

Simplifying
x + -0.6666666665 = 28.990419874

Reorder the terms:
-0.6666666665 + x = 28.990419874

Solving
-0.6666666665 + x = 28.990419874

Solving for variable 'x'.

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

Add '0.6666666665' to each side of the equation.
-0.6666666665 + 0.6666666665 + x = 28.990419874 + 0.6666666665

Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000
0.0000000000 + x = 28.990419874 + 0.6666666665
x = 28.990419874 + 0.6666666665

Combine like terms: 28.990419874 + 0.6666666665 = 29.6570865405
x = 29.6570865405

Simplifying
x = 29.6570865405


Subproblem 2
x + -0.6666666665 = -28.990419874

Simplifying
x + -0.6666666665 = -28.990419874

Reorder the terms:
-0.6666666665 + x = -28.990419874

Solving
-0.6666666665 + x = -28.990419874

Solving for variable 'x'.

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

Add '0.6666666665' to each side of the equation.
-0.6666666665 + 0.6666666665 + x = -28.990419874 + 0.6666666665

Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000
0.0000000000 + x = -28.990419874 + 0.6666666665
x = -28.990419874 + 0.6666666665

Combine like terms: -28.990419874 + 0.6666666665 = -28.3237532075
x = -28.3237532075

Simplifying
x = -28.3237532075


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {29.6570865405, -28.3237532075}

See similar equations:

| j-88=3 | | 5x-42=4x-25 | | 12-2a=4a-16 | | 3*3a+3+6=81 | | 3y-3+37=5y+40-3y | | 0=3v+1 | | (x-2)(x-2)+49=0 | | -4a-5(16-3a)=14 | | 3x+2(x-3)+5x=0 | | -7(10b+10)+9(b-9)=12b+2-7 | | -9y=-3x+18 | | 4+3x+-6=3x+2+x | | X*.85=x-2 | | 6w^3+30w^2-18-90=0 | | 24x^5+6x^4-36x^2+6=0 | | 3x+6+x-10+x-11=360 | | y+15=24 | | 3+6k-7k=1 | | (p+3)(p-5)=2 | | m-2(1-2m)=-(m-10) | | -13x-5=10 | | 4y-5(4y+11)=9 | | 38x^2=-98 | | -27=3x-9 | | 29x-14-13x=4(4x-4)+2 | | 9x-17=-8x+34 | | p-1=7-p | | 7-2=w | | 29.99+0.18x=38 | | 3x^3-4x^2-27x+36=0 | | 12=-2r+1-1 | | 96+3n=13 |

Equations solver categories