3x^2-6x-180=0

Simple and best practice solution for 3x^2-6x-180=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^2-6x-180=0 equation: 


Simplifying
3x2 + -6x + -180 = 0

Reorder the terms:
-180 + -6x + 3x2 = 0

Solving
-180 + -6x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-60 + -2x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-60 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-60 + -2x + x2 = 0

Solving
-60 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '60' to each side of the equation.
-60 + -2x + 60 + x2 = 0 + 60

Reorder the terms:
-60 + 60 + -2x + x2 = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -2x + x2 = 0 + 60
-2x + x2 = 0 + 60

Combine like terms: 0 + 60 = 60
-2x + x2 = 60

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 60 + 1

Reorder the terms:
1 + -2x + x2 = 60 + 1

Combine like terms: 60 + 1 = 61
1 + -2x + x2 = 61

Factor a perfect square on the left side:
(x + -1)(x + -1) = 61

Calculate the square root of the right side: 7.810249676

Break this problem into two subproblems by setting 
(x + -1) equal to 7.810249676 and -7.810249676.


Subproblem 1
x + -1 = 7.810249676

Simplifying
x + -1 = 7.810249676

Reorder the terms:
-1 + x = 7.810249676

Solving
-1 + x = 7.810249676

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = 7.810249676 + 1

Combine like terms: -1 + 1 = 0
0 + x = 7.810249676 + 1
x = 7.810249676 + 1

Combine like terms: 7.810249676 + 1 = 8.810249676
x = 8.810249676

Simplifying
x = 8.810249676


Subproblem 2
x + -1 = -7.810249676

Simplifying
x + -1 = -7.810249676

Reorder the terms:
-1 + x = -7.810249676

Solving
-1 + x = -7.810249676

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = -7.810249676 + 1

Combine like terms: -1 + 1 = 0
0 + x = -7.810249676 + 1
x = -7.810249676 + 1

Combine like terms: -7.810249676 + 1 = -6.810249676
x = -6.810249676

Simplifying
x = -6.810249676


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.810249676, -6.810249676}
Solution
x = {8.810249676, -6.810249676}

See similar equations:

| 5/8m=9/10 | | 3(x-3)+26=3x-21 | | 19x+27x+17x=180 | | 55=2x-7x | | 2y^2+(3Xy-y^2)=0 | | (78.6)-2x(10.9)=56.8 | | 3(x-3)+26=x-21 | | Y=5-0.5x^4+0.4x^6 | | 8/28 | | z^2+(2-i)z-i=0 | | (78.6)-2x(10.9)= | | x^2=5913 | | 6-2x(5-1)= | | =3x+(-12x)-5x | | a^2+3ab+5b^2-80=0 | | 32/36 | | a^2+3ab+5b^2=80 | | 2/3∙(8-1/x)=2 | | 2x^2-kv+12=0 | | (n+4)(n-5)=26 | | 4+4-7+2= | | -z+10=2z-14 | | 2x+3y=91283 | | 42/3= | | h=12m+-32r | | -9*4-4y=36 | | -5y^2+2y+3=0 | | 44/p=11/5p= | | 6y+3y=9y | | ln(x-1)+ln(x+1)=6 | | -5(m-9)= | | -9(-9)-4y=36 |

Equations solver categories