42x^2-476x-2459=0

Simple and best practice solution for 42x^2-476x-2459=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 42x^2-476x-2459=0 equation: 


Simplifying
42x2 + -476x + -2459 = 0

Reorder the terms:
-2459 + -476x + 42x2 = 0

Solving
-2459 + -476x + 42x2 = 0

Solving for variable 'x'.

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

Divide each side by '42'.
-58.54761905 + -11.33333333x + x2 = 0

Move the constant term to the right:

Add '58.54761905' to each side of the equation.
-58.54761905 + -11.33333333x + 58.54761905 + x2 = 0 + 58.54761905

Reorder the terms:
-58.54761905 + 58.54761905 + -11.33333333x + x2 = 0 + 58.54761905

Combine like terms: -58.54761905 + 58.54761905 = 0.00000000
0.00000000 + -11.33333333x + x2 = 0 + 58.54761905
-11.33333333x + x2 = 0 + 58.54761905

Combine like terms: 0 + 58.54761905 = 58.54761905
-11.33333333x + x2 = 58.54761905

The x term is -11.33333333x.  Take half its coefficient (-5.666666665).
Square it (32.11111109) and add it to both sides.

Add '32.11111109' to each side of the equation.
-11.33333333x + 32.11111109 + x2 = 58.54761905 + 32.11111109

Reorder the terms:
32.11111109 + -11.33333333x + x2 = 58.54761905 + 32.11111109

Combine like terms: 58.54761905 + 32.11111109 = 90.65873014
32.11111109 + -11.33333333x + x2 = 90.65873014

Factor a perfect square on the left side:
(x + -5.666666665)(x + -5.666666665) = 90.65873014

Calculate the square root of the right side: 9.521487811

Break this problem into two subproblems by setting 
(x + -5.666666665) equal to 9.521487811 and -9.521487811.


Subproblem 1
x + -5.666666665 = 9.521487811

Simplifying
x + -5.666666665 = 9.521487811

Reorder the terms:
-5.666666665 + x = 9.521487811

Solving
-5.666666665 + x = 9.521487811

Solving for variable 'x'.

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

Add '5.666666665' to each side of the equation.
-5.666666665 + 5.666666665 + x = 9.521487811 + 5.666666665

Combine like terms: -5.666666665 + 5.666666665 = 0.000000000
0.000000000 + x = 9.521487811 + 5.666666665
x = 9.521487811 + 5.666666665

Combine like terms: 9.521487811 + 5.666666665 = 15.188154476
x = 15.188154476

Simplifying
x = 15.188154476


Subproblem 2
x + -5.666666665 = -9.521487811

Simplifying
x + -5.666666665 = -9.521487811

Reorder the terms:
-5.666666665 + x = -9.521487811

Solving
-5.666666665 + x = -9.521487811

Solving for variable 'x'.

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

Add '5.666666665' to each side of the equation.
-5.666666665 + 5.666666665 + x = -9.521487811 + 5.666666665

Combine like terms: -5.666666665 + 5.666666665 = 0.000000000
0.000000000 + x = -9.521487811 + 5.666666665
x = -9.521487811 + 5.666666665

Combine like terms: -9.521487811 + 5.666666665 = -3.854821146
x = -3.854821146

Simplifying
x = -3.854821146


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.188154476, -3.854821146}

See similar equations:

| 4c=c+5 | | abs(x-6)+abs(x-7)=7 | | 49(3)= | | 2log(3x-5)=7 | | -2x+3(3x-1)=11 | | 9x^4-4y^4=0 | | abs(x+3)+abs(x+7)=7 | | log(x)1/4=-4 | | D=2(a+3)-5(b-4) | | 69-4x=21 | | 420=2(r+20) | | (4w-1)(9-w)=0 | | 4y+8=16x | | 32x^2y+36xy-56y=0 | | 2.25*x^2+2*x-1.5=0 | | 12+2x=48 | | 18+.3(15.7-18)=x | | -4-7=-6-(-4) | | 2(3.14)8= | | 0.6=?/50 | | 18+.3(15.7-18)= | | 9x^3-8x^2-54x+48=0 | | -15-(-16)=-7-19 | | -n+5-1=2 | | X-10/3 | | 84=5y+14 | | -16-4a=8(7a-2) | | 16-8=9-20 | | 5800-5/9= | | 3x+13=6x+13 | | 7(1-5b)=39-3b | | 5=y+8 |

Equations solver categories