12x+5=5x(x-7)-3x

Simple and best practice solution for 12x+5=5x(x-7)-3x 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 12x+5=5x(x-7)-3x equation: 


Simplifying
12x + 5 = 5x(x + -7) + -3x

Reorder the terms:
5 + 12x = 5x(x + -7) + -3x

Reorder the terms:
5 + 12x = 5x(-7 + x) + -3x
5 + 12x = (-7 * 5x + x * 5x) + -3x
5 + 12x = (-35x + 5x2) + -3x

Reorder the terms:
5 + 12x = -35x + -3x + 5x2

Combine like terms: -35x + -3x = -38x
5 + 12x = -38x + 5x2

Solving
5 + 12x = -38x + 5x2

Solving for variable 'x'.

Combine like terms: 12x + 38x = 50x
5 + 50x + -5x2 = -38x + 5x2 + 38x + -5x2

Reorder the terms:
5 + 50x + -5x2 = -38x + 38x + 5x2 + -5x2

Combine like terms: -38x + 38x = 0
5 + 50x + -5x2 = 0 + 5x2 + -5x2
5 + 50x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
5 + 50x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + 10x + -1x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(1 + 10x + -1x2)' equal to zero and attempt to solve:

Simplifying
1 + 10x + -1x2 = 0

Solving
1 + 10x + -1x2 = 0

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

Divide each side by '-1'.
-1 + -10x + x2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -10x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -10x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -10x + x2 = 0 + 1
-10x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-10x + x2 = 1

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 1 + 25

Reorder the terms:
25 + -10x + x2 = 1 + 25

Combine like terms: 1 + 25 = 26
25 + -10x + x2 = 26

Factor a perfect square on the left side:
(x + -5)(x + -5) = 26

Calculate the square root of the right side: 5.099019514

Break this problem into two subproblems by setting 
(x + -5) equal to 5.099019514 and -5.099019514.


Subproblem 1
x + -5 = 5.099019514

Simplifying
x + -5 = 5.099019514

Reorder the terms:
-5 + x = 5.099019514

Solving
-5 + x = 5.099019514

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 5.099019514 + 5

Combine like terms: -5 + 5 = 0
0 + x = 5.099019514 + 5
x = 5.099019514 + 5

Combine like terms: 5.099019514 + 5 = 10.099019514
x = 10.099019514

Simplifying
x = 10.099019514


Subproblem 2
x + -5 = -5.099019514

Simplifying
x + -5 = -5.099019514

Reorder the terms:
-5 + x = -5.099019514

Solving
-5 + x = -5.099019514

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -5.099019514 + 5

Combine like terms: -5 + 5 = 0
0 + x = -5.099019514 + 5
x = -5.099019514 + 5

Combine like terms: -5.099019514 + 5 = -0.099019514
x = -0.099019514

Simplifying
x = -0.099019514


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.099019514, -0.099019514}
Solution
x = {10.099019514, -0.099019514}

See similar equations:

| 14-d=18 | | 13=0.3m+1 | | -3(c-14)=-18 | | -1-4(6-5x)=27-6x | | 9u-65=5u-13 | | (4x^2+16x+36)-(4x^2+12x+16)=x^2 | | 2(s-11)=18 | | 9x-40=62-2x | | 1-1/2x3=3 | | 11+-3w=2 | | 6x=72.5 | | 6=2v | | 22=5(x+11+x) | | B-10/2=3 | | s+(s-0.45)+2(s+45)=9.25 | | 8(h-24)=-120 | | S/2=2 | | W/2=2 | | (4x^2+16+36)-(4x^2+12x+16)=x | | 2b+d=-3a | | 3=2y+5x | | -2(2x-3)+4=-(-x+1) | | 40-4x=6x-10 | | 5x-33=43 | | X^6-6x^4=0 | | Y=275-5x | | -2b-d-3a=0 | | 4+3k=16 | | 14p-56=4p+24 | | 1.5=x/2.9-x | | 2z+14z-4z= | | 2x-235=60 |

Equations solver categories