x=(35-2x)+x(35-2x)+x(70-2x)+x(70-2x)

Simple and best practice solution for x=(35-2x)+x(35-2x)+x(70-2x)+x(70-2x) 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 x=(35-2x)+x(35-2x)+x(70-2x)+x(70-2x) equation: 


Simplifying
x = (35 + -2x) + x(35 + -2x) + x(70 + -2x) + x(70 + -2x)

Remove parenthesis around (35 + -2x)
x = 35 + -2x + x(35 + -2x) + x(70 + -2x) + x(70 + -2x)
x = 35 + -2x + (35 * x + -2x * x) + x(70 + -2x) + x(70 + -2x)
x = 35 + -2x + (35x + -2x2) + x(70 + -2x) + x(70 + -2x)
x = 35 + -2x + 35x + -2x2 + (70 * x + -2x * x) + x(70 + -2x)
x = 35 + -2x + 35x + -2x2 + (70x + -2x2) + x(70 + -2x)
x = 35 + -2x + 35x + -2x2 + 70x + -2x2 + (70 * x + -2x * x)
x = 35 + -2x + 35x + -2x2 + 70x + -2x2 + (70x + -2x2)

Reorder the terms:
x = 35 + -2x + 35x + 70x + 70x + -2x2 + -2x2 + -2x2

Combine like terms: -2x + 35x = 33x
x = 35 + 33x + 70x + 70x + -2x2 + -2x2 + -2x2

Combine like terms: 33x + 70x = 103x
x = 35 + 103x + 70x + -2x2 + -2x2 + -2x2

Combine like terms: 103x + 70x = 173x
x = 35 + 173x + -2x2 + -2x2 + -2x2

Combine like terms: -2x2 + -2x2 = -4x2
x = 35 + 173x + -4x2 + -2x2

Combine like terms: -4x2 + -2x2 = -6x2
x = 35 + 173x + -6x2

Solving
x = 35 + 173x + -6x2

Solving for variable 'x'.

Reorder the terms:
-35 + x + -173x + 6x2 = 35 + 173x + -6x2 + -35 + -173x + 6x2

Combine like terms: x + -173x = -172x
-35 + -172x + 6x2 = 35 + 173x + -6x2 + -35 + -173x + 6x2

Reorder the terms:
-35 + -172x + 6x2 = 35 + -35 + 173x + -173x + -6x2 + 6x2

Combine like terms: 35 + -35 = 0
-35 + -172x + 6x2 = 0 + 173x + -173x + -6x2 + 6x2
-35 + -172x + 6x2 = 173x + -173x + -6x2 + 6x2

Combine like terms: 173x + -173x = 0
-35 + -172x + 6x2 = 0 + -6x2 + 6x2
-35 + -172x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-35 + -172x + 6x2 = 0

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

Divide each side by '6'.
-5.833333333 + -28.66666667x + x2 = 0

Move the constant term to the right:

Add '5.833333333' to each side of the equation.
-5.833333333 + -28.66666667x + 5.833333333 + x2 = 0 + 5.833333333

Reorder the terms:
-5.833333333 + 5.833333333 + -28.66666667x + x2 = 0 + 5.833333333

Combine like terms: -5.833333333 + 5.833333333 = 0.000000000
0.000000000 + -28.66666667x + x2 = 0 + 5.833333333
-28.66666667x + x2 = 0 + 5.833333333

Combine like terms: 0 + 5.833333333 = 5.833333333
-28.66666667x + x2 = 5.833333333

The x term is -28.66666667x.  Take half its coefficient (-14.33333334).
Square it (205.4444446) and add it to both sides.

Add '205.4444446' to each side of the equation.
-28.66666667x + 205.4444446 + x2 = 5.833333333 + 205.4444446

Reorder the terms:
205.4444446 + -28.66666667x + x2 = 5.833333333 + 205.4444446

Combine like terms: 5.833333333 + 205.4444446 = 211.277777933
205.4444446 + -28.66666667x + x2 = 211.277777933

Factor a perfect square on the left side:
(x + -14.33333334)(x + -14.33333334) = 211.277777933

Calculate the square root of the right side: 14.535397412

Break this problem into two subproblems by setting 
(x + -14.33333334) equal to 14.535397412 and -14.535397412.


Subproblem 1
x + -14.33333334 = 14.535397412

Simplifying
x + -14.33333334 = 14.535397412

Reorder the terms:
-14.33333334 + x = 14.535397412

Solving
-14.33333334 + x = 14.535397412

Solving for variable 'x'.

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

Add '14.33333334' to each side of the equation.
-14.33333334 + 14.33333334 + x = 14.535397412 + 14.33333334

Combine like terms: -14.33333334 + 14.33333334 = 0.00000000
0.00000000 + x = 14.535397412 + 14.33333334
x = 14.535397412 + 14.33333334

Combine like terms: 14.535397412 + 14.33333334 = 28.868730752
x = 28.868730752

Simplifying
x = 28.868730752


Subproblem 2
x + -14.33333334 = -14.535397412

Simplifying
x + -14.33333334 = -14.535397412

Reorder the terms:
-14.33333334 + x = -14.535397412

Solving
-14.33333334 + x = -14.535397412

Solving for variable 'x'.

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

Add '14.33333334' to each side of the equation.
-14.33333334 + 14.33333334 + x = -14.535397412 + 14.33333334

Combine like terms: -14.33333334 + 14.33333334 = 0.00000000
0.00000000 + x = -14.535397412 + 14.33333334
x = -14.535397412 + 14.33333334

Combine like terms: -14.535397412 + 14.33333334 = -0.202064072
x = -0.202064072

Simplifying
x = -0.202064072


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {28.868730752, -0.202064072}

See similar equations:

| 15x-20-3x-6=4x-2 | | -7z+-35=8z | | 20=b*4 | | 6(2)+2(2)=-16 | | 0.2x-0.7=-1.06 | | x-15-3(x+2)=-11 | | 11+16=-3(4x-9) | | 5(m-1)-6(m+3)=4-m | | 3x+4-2x=6x-8-3 | | 2-3(4-x)+6=5x-1 | | 4x^3-2x^2-9=0 | | lx+3l=13 | | x=(3x-15)1/2 | | 6x-(x+3)=1 | | 5x+21+20x+34=12x-14 | | 7n=(10*n-9/4) | | .5-1/4 | | 6x-3=40x+3 | | 2t+-32=5t+1 | | 8x-(27/x^2)=0 | | 2(3x+5)=-31+35 | | 255/t--4=6.4 | | 4m-6=19 | | 2x+27=6x+39 | | (N+4)+n(n+2)n=0 | | Y=1.6+.8Y+1.5-.35r+3+1-.15r | | 0=4x-tanx | | 4x-5(2-x)=3x(x-6)-16 | | -3x-7=-2x-4 | | 0=9+2x+3y | | 3x^2=0x | | 0.714285714=p+0.571428571 |

Equations solver categories