6x(5x+6)=2

Simple and best practice solution for 6x(5x+6)=2 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 6x(5x+6)=2 equation: 


Simplifying
6x(5x + 6) = 2

Reorder the terms:
6x(6 + 5x) = 2
(6 * 6x + 5x * 6x) = 2
(36x + 30x2) = 2

Solving
36x + 30x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + 36x + 30x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 36x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 18x + 15x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 18x + 15x2)' equal to zero and attempt to solve:

Simplifying
-1 + 18x + 15x2 = 0

Solving
-1 + 18x + 15x2 = 0

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

Divide each side by '15'.
-0.06666666667 + 1.2x + x2 = 0

Move the constant term to the right:

Add '0.06666666667' to each side of the equation.
-0.06666666667 + 1.2x + 0.06666666667 + x2 = 0 + 0.06666666667

Reorder the terms:
-0.06666666667 + 0.06666666667 + 1.2x + x2 = 0 + 0.06666666667

Combine like terms: -0.06666666667 + 0.06666666667 = 0.00000000000
0.00000000000 + 1.2x + x2 = 0 + 0.06666666667
1.2x + x2 = 0 + 0.06666666667

Combine like terms: 0 + 0.06666666667 = 0.06666666667
1.2x + x2 = 0.06666666667

The x term is 1.2x.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2x + 0.36 + x2 = 0.06666666667 + 0.36

Reorder the terms:
0.36 + 1.2x + x2 = 0.06666666667 + 0.36

Combine like terms: 0.06666666667 + 0.36 = 0.42666666667
0.36 + 1.2x + x2 = 0.42666666667

Factor a perfect square on the left side:
(x + 0.6)(x + 0.6) = 0.42666666667

Calculate the square root of the right side: 0.653197265

Break this problem into two subproblems by setting 
(x + 0.6) equal to 0.653197265 and -0.653197265.


Subproblem 1
x + 0.6 = 0.653197265

Simplifying
x + 0.6 = 0.653197265

Reorder the terms:
0.6 + x = 0.653197265

Solving
0.6 + x = 0.653197265

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + x = 0.653197265 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + x = 0.653197265 + -0.6
x = 0.653197265 + -0.6

Combine like terms: 0.653197265 + -0.6 = 0.053197265
x = 0.053197265

Simplifying
x = 0.053197265


Subproblem 2
x + 0.6 = -0.653197265

Simplifying
x + 0.6 = -0.653197265

Reorder the terms:
0.6 + x = -0.653197265

Solving
0.6 + x = -0.653197265

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + x = -0.653197265 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + x = -0.653197265 + -0.6
x = -0.653197265 + -0.6

Combine like terms: -0.653197265 + -0.6 = -1.253197265
x = -1.253197265

Simplifying
x = -1.253197265


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.053197265, -1.253197265}
Solution
x = {0.053197265, -1.253197265}

See similar equations:

| 30x*20w= | | y*y+3y-10=0 | | 2x/x+2=4/3 | | y*y-y-6=0 | | 10x*5y= | | X/5+5/5=3x/2 | | 365+275(32-x)=11050 | | 365*275(32-x)=11050 | | 2c^2+17c+35= | | 5/3x+7/3 | | (2(3+t)(9-t^2))+((3-t)(9-t^2))+((3-t)(3+t))=0 | | 4x^3+3x^2+2x-1=0 | | 8.4*10^-7/3.5*10^-6 | | v^2+15v+54= | | 7+log[5](x-6)=9 | | 5619.7a^2+94864a-47838000=0 | | 3w(10w+7)= | | 3x/2y+13x/6y | | 3/4(x+4)=81/4 | | 4x^2+45x+140=0 | | 5x^2+6y^2=30 | | 4k+26=6 | | 0=4(8)-7 | | N+13=10 | | (s+3)(s-12)= | | -1x+2y=1 | | b+1/5b=30 | | -10t^2+9t+90=0 | | 17/24-34=0 | | 17/2x-34=0 | | 3/4x*1=8 | | 5(3-4x)+5=5x |

Equations solver categories