3x^2-6x-36=0

Simple and best practice solution for 3x^2-6x-36=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-36=0 equation: 


Simplifying
3x2 + -6x + -36 = 0

Reorder the terms:
-36 + -6x + 3x2 = 0

Solving
-36 + -6x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -2x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-12 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-12 + -2x + x2 = 0

Solving
-12 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -2x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -2x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -2x + x2 = 0 + 12
-2x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-2x + x2 = 12

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 = 12 + 1

Reorder the terms:
1 + -2x + x2 = 12 + 1

Combine like terms: 12 + 1 = 13
1 + -2x + x2 = 13

Factor a perfect square on the left side:
(x + -1)(x + -1) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(x + -1) equal to 3.605551275 and -3.605551275.


Subproblem 1
x + -1 = 3.605551275

Simplifying
x + -1 = 3.605551275

Reorder the terms:
-1 + x = 3.605551275

Solving
-1 + x = 3.605551275

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 = 3.605551275 + 1

Combine like terms: -1 + 1 = 0
0 + x = 3.605551275 + 1
x = 3.605551275 + 1

Combine like terms: 3.605551275 + 1 = 4.605551275
x = 4.605551275

Simplifying
x = 4.605551275


Subproblem 2
x + -1 = -3.605551275

Simplifying
x + -1 = -3.605551275

Reorder the terms:
-1 + x = -3.605551275

Solving
-1 + x = -3.605551275

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 = -3.605551275 + 1

Combine like terms: -1 + 1 = 0
0 + x = -3.605551275 + 1
x = -3.605551275 + 1

Combine like terms: -3.605551275 + 1 = -2.605551275
x = -2.605551275

Simplifying
x = -2.605551275


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.605551275, -2.605551275}
Solution
x = {4.605551275, -2.605551275}

See similar equations:

| 3(z-6)=88 | | 2(0)-4y=10 | | 7e^3x-6=8 | | 3(x-6)+9=-1+x-26 | | 3.14x(19-15)= | | Y-2=-7(x-12) | | 1z/8=10/18 | | 4-9p=3p | | 4(a-2)=2(a+8) | | 22+24+3d=84 | | x^3-x^2+4x-8=0 | | 5(b+3)=7b-25 | | 6z=7d | | 8m-6m+1=11 | | 3(x+4)=-5x+20 | | x/1.2=2 | | 0.3304/0.9 | | t-24=-21 | | Y-3=-6(x-(-4)) | | 9p=20 | | 6+736743= | | (p-7)/3=9 | | 7z=3z+52 | | 8-5x-3=15 | | p-7/3=9 | | 7x-4=5-x+35 | | 5-3d=4d-16 | | 47=11-x/8= | | 7x-(x+1)=-4x-5 | | 25+x-5=5x | | -7a+8=3a-2 | | 6xy+ay^2=18-x^2 |

Equations solver categories