3x^2-50x-170=0

Simple and best practice solution for 3x^2-50x-170=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^2-50x-170=0 equation: 


Simplifying
3x2 + -50x + -170 = 0

Reorder the terms:
-170 + -50x + 3x2 = 0

Solving
-170 + -50x + 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'.
-56.66666667 + -16.66666667x + x2 = 0

Move the constant term to the right:

Add '56.66666667' to each side of the equation.
-56.66666667 + -16.66666667x + 56.66666667 + x2 = 0 + 56.66666667

Reorder the terms:
-56.66666667 + 56.66666667 + -16.66666667x + x2 = 0 + 56.66666667

Combine like terms: -56.66666667 + 56.66666667 = 0.00000000
0.00000000 + -16.66666667x + x2 = 0 + 56.66666667
-16.66666667x + x2 = 0 + 56.66666667

Combine like terms: 0 + 56.66666667 = 56.66666667
-16.66666667x + x2 = 56.66666667

The x term is -16.66666667x.  Take half its coefficient (-8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
-16.66666667x + 69.44444447 + x2 = 56.66666667 + 69.44444447

Reorder the terms:
69.44444447 + -16.66666667x + x2 = 56.66666667 + 69.44444447

Combine like terms: 56.66666667 + 69.44444447 = 126.11111114
69.44444447 + -16.66666667x + x2 = 126.11111114

Factor a perfect square on the left side:
(x + -8.333333335)(x + -8.333333335) = 126.11111114

Calculate the square root of the right side: 11.229920353

Break this problem into two subproblems by setting 
(x + -8.333333335) equal to 11.229920353 and -11.229920353.


Subproblem 1
x + -8.333333335 = 11.229920353

Simplifying
x + -8.333333335 = 11.229920353

Reorder the terms:
-8.333333335 + x = 11.229920353

Solving
-8.333333335 + x = 11.229920353

Solving for variable 'x'.

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

Add '8.333333335' to each side of the equation.
-8.333333335 + 8.333333335 + x = 11.229920353 + 8.333333335

Combine like terms: -8.333333335 + 8.333333335 = 0.000000000
0.000000000 + x = 11.229920353 + 8.333333335
x = 11.229920353 + 8.333333335

Combine like terms: 11.229920353 + 8.333333335 = 19.563253688
x = 19.563253688

Simplifying
x = 19.563253688


Subproblem 2
x + -8.333333335 = -11.229920353

Simplifying
x + -8.333333335 = -11.229920353

Reorder the terms:
-8.333333335 + x = -11.229920353

Solving
-8.333333335 + x = -11.229920353

Solving for variable 'x'.

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

Add '8.333333335' to each side of the equation.
-8.333333335 + 8.333333335 + x = -11.229920353 + 8.333333335

Combine like terms: -8.333333335 + 8.333333335 = 0.000000000
0.000000000 + x = -11.229920353 + 8.333333335
x = -11.229920353 + 8.333333335

Combine like terms: -11.229920353 + 8.333333335 = -2.896587018
x = -2.896587018

Simplifying
x = -2.896587018


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {19.563253688, -2.896587018}

See similar equations:

| 2x(x+6)=x(3x-3) | | 12=15-y | | 8x^2+100x+3=0 | | 82=-2x-2(-6x+14) | | 4a-14=-8 | | (5x-2y)-(-3x+4x)= | | 9+9p=75 | | 81=-2x-2(-6x+14) | | 5a-8a=36 | | 5x+7(4x-21)=51 | | 5(3x+4)-14= | | (5x-2y)-(3x+4x)= | | -7x=210 | | 4x+5(5x-22)=35 | | y-8=3(x-5) | | k^2+2k-10=0 | | 6x-5=22-3x | | 20x^3-15x^2+5x=0 | | (-7-1)(-4)+(-4)= | | 5x^2-3x-15x-19= | | 20x^2-10x=10 | | -7-m=-8(4m-3) | | (-7-1)(-4)+(4)= | | 3x+2(x-4)=2(x-6)+5 | | 4(7a-3)=16 | | 2xy-3x-6y+9= | | -4(9)(-2)= | | -15.5+7.5c=8(9.5c-9) | | y-y+2=0 | | -4x+6(6x-20)=104 | | 4(2y-2)-(7y+6)= | | 4x(n-2)+2n=20+2n |

Equations solver categories