2x(x-6)=30

Simple and best practice solution for 2x(x-6)=30 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 2x(x-6)=30 equation: 


Simplifying
2x(x + -6) = 30

Reorder the terms:
2x(-6 + x) = 30
(-6 * 2x + x * 2x) = 30
(-12x + 2x2) = 30

Solving
-12x + 2x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + -12x + 2x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-15 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
-15 + -6x + x2 = 0

Solving
-15 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '15' to each side of the equation.
-15 + -6x + 15 + x2 = 0 + 15

Reorder the terms:
-15 + 15 + -6x + x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -6x + x2 = 0 + 15
-6x + x2 = 0 + 15

Combine like terms: 0 + 15 = 15
-6x + x2 = 15

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = 15 + 9

Reorder the terms:
9 + -6x + x2 = 15 + 9

Combine like terms: 15 + 9 = 24
9 + -6x + x2 = 24

Factor a perfect square on the left side:
(x + -3)(x + -3) = 24

Calculate the square root of the right side: 4.898979486

Break this problem into two subproblems by setting 
(x + -3) equal to 4.898979486 and -4.898979486.


Subproblem 1
x + -3 = 4.898979486

Simplifying
x + -3 = 4.898979486

Reorder the terms:
-3 + x = 4.898979486

Solving
-3 + x = 4.898979486

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = 4.898979486 + 3

Combine like terms: -3 + 3 = 0
0 + x = 4.898979486 + 3
x = 4.898979486 + 3

Combine like terms: 4.898979486 + 3 = 7.898979486
x = 7.898979486

Simplifying
x = 7.898979486


Subproblem 2
x + -3 = -4.898979486

Simplifying
x + -3 = -4.898979486

Reorder the terms:
-3 + x = -4.898979486

Solving
-3 + x = -4.898979486

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = -4.898979486 + 3

Combine like terms: -3 + 3 = 0
0 + x = -4.898979486 + 3
x = -4.898979486 + 3

Combine like terms: -4.898979486 + 3 = -1.898979486
x = -1.898979486

Simplifying
x = -1.898979486


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.898979486, -1.898979486}
Solution
x = {7.898979486, -1.898979486}

See similar equations:

| -3x+8x-9=5(x-2)-7 | | 2x+(3)(3x-7)=0 | | 5(x-12)+12=-28 | | 30x-5=6(5x+8) | | -1x+2y=-23 | | 4m-(4m)= | | 8(2y-5)+3(5y+4)= | | p=-30q^2+7000 | | 2e-12=7+8 | | .5x+.5x=x | | 2p-4(6-2p)=5(p-4)-44 | | 2.3x+5.5+3.1x-8=10.9 | | 180+.25m=305 | | 4(1y-2)=2y-8 | | (66-1x+24)+(66-1x)=90 | | 4m-(-4m)= | | 2-8x=6-4x | | 9z-z=-3+2z-2-7 | | 3*144= | | .2x-3=2 | | -(7x-7y-7)= | | -1x+2y=23 | | -7x+-6x=-12+x+-2X | | X-11+5x=13+6x+2 | | 3x=7x-11 | | -x-5=x-19 | | -7+x-7-2x=-3x+3 | | 8x-(2x+7)=-9x-2(4x+3) | | -6m-5=-17 | | 5-3(w+4)=-10(r-3) | | 7x-5-x=-1-6x+6-3x | | -9d-4+3d=27 |

Equations solver categories