120x^2-76x-605=0

Simple and best practice solution for 120x^2-76x-605=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^2-76x-605=0 equation: 


Simplifying
120x2 + -76x + -605 = 0

Reorder the terms:
-605 + -76x + 120x2 = 0

Solving
-605 + -76x + 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'.
-5.041666667 + -0.6333333333x + x2 = 0

Move the constant term to the right:

Add '5.041666667' to each side of the equation.
-5.041666667 + -0.6333333333x + 5.041666667 + x2 = 0 + 5.041666667

Reorder the terms:
-5.041666667 + 5.041666667 + -0.6333333333x + x2 = 0 + 5.041666667

Combine like terms: -5.041666667 + 5.041666667 = 0.000000000
0.000000000 + -0.6333333333x + x2 = 0 + 5.041666667
-0.6333333333x + x2 = 0 + 5.041666667

Combine like terms: 0 + 5.041666667 = 5.041666667
-0.6333333333x + x2 = 5.041666667

The x term is -0.6333333333x.  Take half its coefficient (-0.3166666667).
Square it (0.1002777778) and add it to both sides.

Add '0.1002777778' to each side of the equation.
-0.6333333333x + 0.1002777778 + x2 = 5.041666667 + 0.1002777778

Reorder the terms:
0.1002777778 + -0.6333333333x + x2 = 5.041666667 + 0.1002777778

Combine like terms: 5.041666667 + 0.1002777778 = 5.1419444448
0.1002777778 + -0.6333333333x + x2 = 5.1419444448

Factor a perfect square on the left side:
(x + -0.3166666667)(x + -0.3166666667) = 5.1419444448

Calculate the square root of the right side: 2.267585598

Break this problem into two subproblems by setting 
(x + -0.3166666667) equal to 2.267585598 and -2.267585598.


Subproblem 1
x + -0.3166666667 = 2.267585598

Simplifying
x + -0.3166666667 = 2.267585598

Reorder the terms:
-0.3166666667 + x = 2.267585598

Solving
-0.3166666667 + x = 2.267585598

Solving for variable 'x'.

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

Add '0.3166666667' to each side of the equation.
-0.3166666667 + 0.3166666667 + x = 2.267585598 + 0.3166666667

Combine like terms: -0.3166666667 + 0.3166666667 = 0.0000000000
0.0000000000 + x = 2.267585598 + 0.3166666667
x = 2.267585598 + 0.3166666667

Combine like terms: 2.267585598 + 0.3166666667 = 2.5842522647
x = 2.5842522647

Simplifying
x = 2.5842522647


Subproblem 2
x + -0.3166666667 = -2.267585598

Simplifying
x + -0.3166666667 = -2.267585598

Reorder the terms:
-0.3166666667 + x = -2.267585598

Solving
-0.3166666667 + x = -2.267585598

Solving for variable 'x'.

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

Add '0.3166666667' to each side of the equation.
-0.3166666667 + 0.3166666667 + x = -2.267585598 + 0.3166666667

Combine like terms: -0.3166666667 + 0.3166666667 = 0.0000000000
0.0000000000 + x = -2.267585598 + 0.3166666667
x = -2.267585598 + 0.3166666667

Combine like terms: -2.267585598 + 0.3166666667 = -1.9509189313
x = -1.9509189313

Simplifying
x = -1.9509189313


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.5842522647, -1.9509189313}

See similar equations:

| 8/-3t=24 | | 0=x^2-13x+30 | | 24-2k=15+k | | g(x)=2x^2-2x+6 | | 3x-29=10x-50 | | 6x=x+576000equatio | | 2x=(550/5) | | 6X=x+576000 | | 4+7x+2x=40 | | 6w/5=30 | | 7-6x+3x=-14 | | 5B+24=3B+48 | | X=-10y-6/7 | | 3x+3+27=42 | | 6p=q-10 | | 9x+28=2x-14 | | -3(x+1)+7=4(x+1)-5 | | 8x+1=(15x+10)2 | | 8x+1=15x+10*2 | | 2x(y+z)=0 | | 34/5v=3 | | (34/5)v=3 | | ((512^(x-2))/((1)/(64))^(3x)=512 | | 34=x+3x+6 | | -3(3s-2)-6=-2(8s+4)-3 | | -12=4x+6x-2 | | 5+3-9= | | x=4_/0.5 | | (-6-9i)/(-1-10i) | | X^2-4x=-27 | | 2+6x+5x=-9 | | (4z-8)-(7z+2)= |

Equations solver categories