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

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


Simplifying
x2(x + -4) = x(-1x + 4)

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

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

Solving
-4x2 + x3 = 4x + -1x2

Solving for variable 'x'.

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

Combine like terms: -4x2 + x2 = -3x2
-4x + -3x2 + x3 = 4x + -1x2 + -4x + x2

Reorder the terms:
-4x + -3x2 + x3 = 4x + -4x + -1x2 + x2

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -3x + x2) = 0

Factor a trinomial.
x((-1 + -1x)(4 + -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 '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 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 + -1x = 0 + 1

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

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

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

Simplifying
x = -1

Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, -1, 4}

See similar equations:

| 4a^2-a-6a-6=0 | | y+1.2y+1.2= | | 2k+5(1)=10 | | 12+-3=33 | | .5(10x-18)= | | (-24)=3x+5 | | 2x-30=50 | | 2sinx=1 | | 7+11-12+7-9+10= | | 196=2(2x-5)+2(x) | | 4=2t | | 3-8+5-6+2+4= | | 7x-8=-92 | | -2(3x+25)= | | -2(z-15)=-4 | | 10-9+10-4+5= | | -2-2x=-10 | | 3x-18+27+10x-11=25+4x-7x+3x | | 20p^4+24p^2q^2-9q^4=0 | | 19=y-11 | | x^2-2y=48 | | 5k+2(0)=10 | | 48=6d | | 7x+2=100 | | 9x-3x+96=9x+51 | | 9(m-3)-8(m+5)=-67 | | x-6(x+4)=3-4(2x+5) | | 3(5x+1)-6=9 | | -(x+3)+5x=-2(x-5)+12 | | 6-(2x-6)=3-3x | | 196=2(2x-6)+2(x) | | -7(5n-6)=-3(-9n-11)+9 |

Equations solver categories