4x+32=2x(3x)+2x-8

Simple and best practice solution for 4x+32=2x(3x)+2x-8 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 4x+32=2x(3x)+2x-8 equation: 


Simplifying
4x + 32 = 2x(3x) + 2x + -8

Reorder the terms:
32 + 4x = 2x(3x) + 2x + -8

Remove parenthesis around (3x)
32 + 4x = 2x * 3x + 2x + -8

Reorder the terms for easier multiplication:
32 + 4x = 2 * 3x * x + 2x + -8

Multiply 2 * 3
32 + 4x = 6x * x + 2x + -8

Multiply x * x
32 + 4x = 6x2 + 2x + -8

Reorder the terms:
32 + 4x = -8 + 2x + 6x2

Solving
32 + 4x = -8 + 2x + 6x2

Solving for variable 'x'.

Reorder the terms:
32 + 8 + 4x + -2x + -6x2 = -8 + 2x + 6x2 + 8 + -2x + -6x2

Combine like terms: 32 + 8 = 40
40 + 4x + -2x + -6x2 = -8 + 2x + 6x2 + 8 + -2x + -6x2

Combine like terms: 4x + -2x = 2x
40 + 2x + -6x2 = -8 + 2x + 6x2 + 8 + -2x + -6x2

Reorder the terms:
40 + 2x + -6x2 = -8 + 8 + 2x + -2x + 6x2 + -6x2

Combine like terms: -8 + 8 = 0
40 + 2x + -6x2 = 0 + 2x + -2x + 6x2 + -6x2
40 + 2x + -6x2 = 2x + -2x + 6x2 + -6x2

Combine like terms: 2x + -2x = 0
40 + 2x + -6x2 = 0 + 6x2 + -6x2
40 + 2x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
40 + 2x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + x + -3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + x + -3x2)' equal to zero and attempt to solve:

Simplifying
20 + x + -3x2 = 0

Solving
20 + x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-6.666666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '6.666666667' to each side of the equation.
-6.666666667 + -0.3333333333x + 6.666666667 + x2 = 0 + 6.666666667

Reorder the terms:
-6.666666667 + 6.666666667 + -0.3333333333x + x2 = 0 + 6.666666667

Combine like terms: -6.666666667 + 6.666666667 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + 6.666666667
-0.3333333333x + x2 = 0 + 6.666666667

Combine like terms: 0 + 6.666666667 = 6.666666667
-0.3333333333x + x2 = 6.666666667

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333x + 0.25 + x2 = 6.666666667 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = 6.666666667 + 0.25

Combine like terms: 6.666666667 + 0.25 = 6.916666667
0.25 + -0.3333333333x + x2 = 6.916666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 6.916666667

Calculate the square root of the right side: 2.62995564

Break this problem into two subproblems by setting 
(x + 0.5) equal to 2.62995564 and -2.62995564.


Subproblem 1
x + 0.5 = 2.62995564

Simplifying
x + 0.5 = 2.62995564

Reorder the terms:
0.5 + x = 2.62995564

Solving
0.5 + x = 2.62995564

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 2.62995564 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 2.62995564 + -0.5
x = 2.62995564 + -0.5

Combine like terms: 2.62995564 + -0.5 = 2.12995564
x = 2.12995564

Simplifying
x = 2.12995564


Subproblem 2
x + 0.5 = -2.62995564

Simplifying
x + 0.5 = -2.62995564

Reorder the terms:
0.5 + x = -2.62995564

Solving
0.5 + x = -2.62995564

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -2.62995564 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -2.62995564 + -0.5
x = -2.62995564 + -0.5

Combine like terms: -2.62995564 + -0.5 = -3.12995564
x = -3.12995564

Simplifying
x = -3.12995564


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.12995564, -3.12995564}
Solution
x = {2.12995564, -3.12995564}

See similar equations:

| -1.83+6.154= | | z^2-6z+10=0 | | -15=4y-3 | | x-25=-20 | | -33+4k=6+5(4k+5) | | 272=13-v | | 6x/7-4=32 | | 6.62y-8.72=-1.16-2.79y | | -88=7(6+4b)-2b | | 4(2x+10)=-24 | | 4a^2-3b^2+3c^2=0 | | -7-8=7x+8x-18x | | y=-x^2-4 | | 4x+80+2x-20=180 | | -2x+1=x/3+8 | | -5x^2+20x+160=0 | | 5/12z=1/14-11/6 | | x/9+8=13 | | 3x-5x=0 | | -3=2x-5+1 | | 3b-2=4b | | -126=-7(6-3v) | | 5/12z=1/14-1/16 | | 9.2-4w=-2(3w+3) | | (n+5)*4=52 | | 3b-2b=4b | | -3x-6(x+5)=-2(4x+9) | | i/12z=1/14-11/6 | | 4y+3-2y-5= | | x^2-4=4x-15 | | 5/6x+6/7 | | 3.666666667x+3y= |

Equations solver categories