18-2[x(x-5)]=

Simple and best practice solution for 18-2[x(x-5)]= 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 18-2[x(x-5)]= equation: 


Simplifying
18 + -2[x(x + -5)] = 0

Reorder the terms:
18 + -2[x(-5 + x)] = 0
18 + -2[(-5 * x + x * x)] = 0
18 + -2[(-5x + x2)] = 0
18 + [-5x * -2 + x2 * -2] = 0
18 + [10x + -2x2] = 0

Solving
18 + 10x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 5x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + 5x + -1x2)' equal to zero and attempt to solve:

Simplifying
9 + 5x + -1x2 = 0

Solving
9 + 5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-9 + -5x + x2 = 0

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + -5x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + -5x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5x + x2 = 0 + 9
-5x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-5x + x2 = 9

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 9 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 9 + 6.25

Combine like terms: 9 + 6.25 = 15.25
6.25 + -5x + x2 = 15.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 15.25

Calculate the square root of the right side: 3.905124838

Break this problem into two subproblems by setting 
(x + -2.5) equal to 3.905124838 and -3.905124838.


Subproblem 1
x + -2.5 = 3.905124838

Simplifying
x + -2.5 = 3.905124838

Reorder the terms:
-2.5 + x = 3.905124838

Solving
-2.5 + x = 3.905124838

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 3.905124838 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 3.905124838 + 2.5
x = 3.905124838 + 2.5

Combine like terms: 3.905124838 + 2.5 = 6.405124838
x = 6.405124838

Simplifying
x = 6.405124838


Subproblem 2
x + -2.5 = -3.905124838

Simplifying
x + -2.5 = -3.905124838

Reorder the terms:
-2.5 + x = -3.905124838

Solving
-2.5 + x = -3.905124838

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -3.905124838 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -3.905124838 + 2.5
x = -3.905124838 + 2.5

Combine like terms: -3.905124838 + 2.5 = -1.405124838
x = -1.405124838

Simplifying
x = -1.405124838


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.405124838, -1.405124838}
Solution
x = {6.405124838, -1.405124838}

See similar equations:

| 3m-10=8m | | (4x-23)=75 | | -(9-5x)=2(8x-1)-11x-7 | | 4(x+18)=-2(x-18) | | 3(x+2)-5=3x+1 | | 1x=-3 | | -4r-8(11r-5)=-10(10r-4) | | y/4=-10 | | -3+3(2v-2)=15 | | 8(xy+8)+1= | | 1+2=x-4x | | a+5=-5+a | | 6x+5=8x-10 | | 12(x-2)=8x-4 | | 6(-8n-2)+6=18 | | 10x+2=7x+14 | | 2d+5=3 | | 6x+64=220 | | 4(5p-2)-6(p+5)=-10p+5p | | 6(a+2)+5a= | | 5x-35=6-4x+8 | | 15+x=75 | | 30+13t=0 | | 3q+11+8q=99 | | 6x+5x=-22 | | 8x-2=9+7 | | 3x+34=34x-5 | | 6k=2(k-1) | | 3+3(9n+1)=-6(4-2n) | | 5(t-12)-24=3(t+2) | | 8(x+6)-10= | | 12+4(5m+8)=5(3-m) |

Equations solver categories