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

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


Simplifying
x(x2 + 2) = x(4x + -2)

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

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

Solving
2x + x3 = -2x + 4x2

Solving for variable 'x'.

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

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

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

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

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

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

Factor a trinomial.
x((2 + -1x)(2 + -1x)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2, 2}

See similar equations:

| x^3+8x=512 | | 6(k+2)+2(2k-5)=4 | | x^3+8x=448 | | x^3-11x-42=0 | | 3(2y-0.3)=19.4-4 | | -1+5x+x=4x-2-5 | | h^2-8h+24=0 | | 7p-12=3b | | 3.7x-5.5=11.2 | | 5x-6=1+3x-5-14 | | 3b^2-6b-24=0 | | 4s-5t=3 | | 72-12x=27x+135 | | 4.2-7.8=53.7 | | 8(y+3)=3(2y+12) | | [2x-3]=7 | | 2[x+4]+6=20 | | 2a-6+6=8+a | | 0=16t^2+1444 | | 12m+3=4(m-7) | | 14x+15=x^2 | | 0=16t^2 | | (2y-3)(y-2)-4y^2+12y-9=0 | | 3x-2+5x=7+2x+21 | | k+6=14+2k | | X^2-3x=7 | | X-2(3x-5)=40 | | 6x^2+10x+6=-3 | | (3k+12-k)*3=k-(4-k) | | 8x=20-x^2 | | 2x^2=x+6 | | -2m-4=-1-3m |

Equations solver categories