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

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


Simplifying
(8x3 + 4x2 + x) + -1(2x3 + x2 + x) = 0

Reorder the terms:
(x + 4x2 + 8x3) + -1(2x3 + x2 + x) = 0

Remove parenthesis around (x + 4x2 + 8x3)
x + 4x2 + 8x3 + -1(2x3 + x2 + x) = 0

Reorder the terms:
x + 4x2 + 8x3 + -1(x + x2 + 2x3) = 0
x + 4x2 + 8x3 + (x * -1 + x2 * -1 + 2x3 * -1) = 0
x + 4x2 + 8x3 + (-1x + -1x2 + -2x3) = 0

Reorder the terms:
x + -1x + 4x2 + -1x2 + 8x3 + -2x3 = 0

Combine like terms: x + -1x = 0
0 + 4x2 + -1x2 + 8x3 + -2x3 = 0
4x2 + -1x2 + 8x3 + -2x3 = 0

Combine like terms: 4x2 + -1x2 = 3x2
3x2 + 8x3 + -2x3 = 0

Combine like terms: 8x3 + -2x3 = 6x3
3x2 + 6x3 = 0

Solving
3x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(1 + 2x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -0.5}

See similar equations:

| 8xp=tyz | | 5-2(x+60)=14 | | -21=-5x+3x-10 | | 5z-13=17+8z | | 2(4x+5)-10=4(2x-3) | | x-5y=22 | | 3(2.5)-1y=26 | | 4b-(-4b)+6b= | | 7x+1=8.9 | | -310b+10+5b+2= | | -15x-19+3x=25x+42 | | 6=.90f+2.40 | | 2+7x=-96 | | 4x-4+1x=2(3x-2)-1x | | -14u-20=16-12u+4 | | 4x-8+6x-27=55 | | 16x-[3x-(6-9x)]=20x+[-(3x+2)-(x+4)] | | axc=by | | 9m-15=29+28 | | 20+4x=44 | | 30=2n+6 | | ab=cx | | 8x-6+14+8=90 | | -15-19+3=25+42 | | (5g^2+6g-10)-(2g^2+2g+9)= | | -5x^5+40x^4-60x^3=0 | | 5(3a+3)+4a-5=-(2a-4) | | 5-2n+4+2n+3= | | 18.12+3.5m=-9.25-13.3m+15m | | 87.7a-15=19.593 | | 6=.90+2.40xf | | 48.9866=3.14*r^2 |

Equations solver categories