-6x+8x(-2x+3x-2)=160

Simple and best practice solution for -6x+8x(-2x+3x-2)=160 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 -6x+8x(-2x+3x-2)=160 equation: 


Simplifying
-6x + 8x(-2x + 3x + -2) = 160

Reorder the terms:
-6x + 8x(-2 + -2x + 3x) = 160

Combine like terms: -2x + 3x = 1x
-6x + 8x(-2 + 1x) = 160
-6x + (-2 * 8x + 1x * 8x) = 160
-6x + (-16x + 8x2) = 160

Combine like terms: -6x + -16x = -22x
-22x + 8x2 = 160

Solving
-22x + 8x2 = 160

Solving for variable 'x'.

Reorder the terms:
-160 + -22x + 8x2 = 160 + -160

Combine like terms: 160 + -160 = 0
-160 + -22x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-80 + -11x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-80 + -11x + 4x2)' equal to zero and attempt to solve:

Simplifying
-80 + -11x + 4x2 = 0

Solving
-80 + -11x + 4x2 = 0

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

Divide each side by '4'.
-20 + -2.75x + x2 = 0

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + -2.75x + 20 + x2 = 0 + 20

Reorder the terms:
-20 + 20 + -2.75x + x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -2.75x + x2 = 0 + 20
-2.75x + x2 = 0 + 20

Combine like terms: 0 + 20 = 20
-2.75x + x2 = 20

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = 20 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = 20 + 1.890625

Combine like terms: 20 + 1.890625 = 21.890625
1.890625 + -2.75x + x2 = 21.890625

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = 21.890625

Calculate the square root of the right side: 4.678741818

Break this problem into two subproblems by setting 
(x + -1.375) equal to 4.678741818 and -4.678741818.


Subproblem 1
x + -1.375 = 4.678741818

Simplifying
x + -1.375 = 4.678741818

Reorder the terms:
-1.375 + x = 4.678741818

Solving
-1.375 + x = 4.678741818

Solving for variable 'x'.

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

Add '1.375' to each side of the equation.
-1.375 + 1.375 + x = 4.678741818 + 1.375

Combine like terms: -1.375 + 1.375 = 0.000
0.000 + x = 4.678741818 + 1.375
x = 4.678741818 + 1.375

Combine like terms: 4.678741818 + 1.375 = 6.053741818
x = 6.053741818

Simplifying
x = 6.053741818


Subproblem 2
x + -1.375 = -4.678741818

Simplifying
x + -1.375 = -4.678741818

Reorder the terms:
-1.375 + x = -4.678741818

Solving
-1.375 + x = -4.678741818

Solving for variable 'x'.

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

Add '1.375' to each side of the equation.
-1.375 + 1.375 + x = -4.678741818 + 1.375

Combine like terms: -1.375 + 1.375 = 0.000
0.000 + x = -4.678741818 + 1.375
x = -4.678741818 + 1.375

Combine like terms: -4.678741818 + 1.375 = -3.303741818
x = -3.303741818

Simplifying
x = -3.303741818


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.053741818, -3.303741818}
Solution
x = {6.053741818, -3.303741818}

See similar equations:

| -3v=3v+1 | | x=9+3 | | 6x-34=14+4x | | 5+x+t=3 | | 266=38x | | 4.5s-11.24-13.6s=-9.1s-11.24 | | m-a=-13 | | 6=r+7-10 | | -0.2b-17.69=3.9b-4.1b+3.91 | | 9v^2+30vt+25t^2=0 | | 6t-14=-t | | 14x^2+47x-7=0 | | 6+p^2+2p= | | -3.1n=-6n-13.34 | | 1y-3=-11 | | 18+12n=8n-13+4n | | 5v=225 | | d=14+2d | | -5n=-3m+1 | | dx+b=4(x-d) | | 120x^2y-55xy^2+5y^3=0 | | 4c+4=-20-4c | | 4k=1+5k | | -2r/5=48 | | 9w-7=2y-3 | | -9v+8=1-9v+7 | | .75x^2+9.72x-200=0 | | 8x^2-50x+33=0 | | 2x^3+4x^2-96x=0 | | 3x-(8-x)=4[5-(7+2x-2)] | | -13m=-12m+18 | | 16(v+2)-4v=4(3v+2)-13 |

Equations solver categories