x=x*(x+3)+x-(x+3)

Simple and best practice solution for x=x*(x+3)+x-(x+3) 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*(x+3)+x-(x+3) equation: 


Simplifying
x = x(x + 3) + x + -1(x + 3)

Reorder the terms:
x = x(3 + x) + x + -1(x + 3)
x = (3 * x + x * x) + x + -1(x + 3)
x = (3x + x2) + x + -1(x + 3)

Reorder the terms:
x = 3x + x2 + x + -1(3 + x)
x = 3x + x2 + x + (3 * -1 + x * -1)
x = 3x + x2 + x + (-3 + -1x)

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

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

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

Solving
x = -3 + 3x + x2

Solving for variable 'x'.

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

Combine like terms: x + -3x = -2x
3 + -2x + -1x2 = -3 + 3x + x2 + 3 + -3x + -1x2

Reorder the terms:
3 + -2x + -1x2 = -3 + 3 + 3x + -3x + x2 + -1x2

Combine like terms: -3 + 3 = 0
3 + -2x + -1x2 = 0 + 3x + -3x + x2 + -1x2
3 + -2x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
3 + -2x + -1x2 = 0 + x2 + -1x2
3 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + -2x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(3 + x) = 0


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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {1, -3}

See similar equations:

| -2b=6-3b | | C-(-12)=0 | | y+2.3=1.5 | | 4x-0=6 | | -7-6v=2-7v | | 276x=20+0.6 | | -6-7y=-15 | | -40+3x=4x-50 | | -5p^2-30p=29 | | x^2+3391= | | 4(x-1)-2y=2 | | x*(x^8-1)=0 | | -63+(-62)= | | 6(2x-1)=234 | | 8x-(2x+15)=27 | | 5p-10=10p | | 9x-15-8x+6=-5 | | 5k=6+4k | | 8+8n=6n+4 | | x-0.29x=444.46 | | (-12x+6)= | | 4z(z+2)(z-3)=0 | | 2g=9+g | | 8t=10+3t | | 30=3s-4(24-s) | | p=5b-(20+2b) | | 9w+3=4w+9 | | 3-6(-9z-4)=5(2z+7)-3 | | 41n-35n-4n+2=42 | | -15=-1 | | 2-3(x+1)=6x | | r+-11+11=980 |

Equations solver categories