(X-3)X(X+8)=0

Simple and best practice solution for (X-3)X(X+8)=0 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-3)X(X+8)=0 equation: 


Simplifying
(X + -3) * X(X + 8) = 0

Reorder the terms:
(-3 + X) * X(X + 8) = 0

Reorder the terms:
(-3 + X) * X(8 + X) = 0

Reorder the terms for easier multiplication:
X(-3 + X)(8 + X) = 0

Multiply (-3 + X) * (8 + X)
X(-3(8 + X) + X(8 + X)) = 0
X((8 * -3 + X * -3) + X(8 + X)) = 0
X((-24 + -3X) + X(8 + X)) = 0
X(-24 + -3X + (8 * X + X * X)) = 0
X(-24 + -3X + (8X + X2)) = 0

Combine like terms: -3X + 8X = 5X
X(-24 + 5X + X2) = 0
(-24 * X + 5X * X + X2 * X) = 0
(-24X + 5X2 + X3) = 0

Solving
-24X + 5X2 + X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-24 + 5X + X2) = 0

Factor a trinomial.
X((-8 + -1X)(3 + -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 '(-8 + -1X)' equal to zero and attempt to solve:

Simplifying
-8 + -1X = 0

Solving
-8 + -1X = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1X = 0 + 8
-1X = 0 + 8

Combine like terms: 0 + 8 = 8
-1X = 8

Divide each side by '-1'.
X = -8

Simplifying
X = -8

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

Simplifying
3 + -1X = 0

Solving
3 + -1X = 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 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {0, -8, 3}

See similar equations:

| -14+2r=14 | | 3xwhat=105 | | 4t+2t=60 | | 226=79-u | | 7r^2+14r-61=-5 | | 8(4k-4)=-56-32 | | D=rt+11.5 | | 10-3x=3x-14 | | 2.5x+1y=2x+1.5y | | 60h^5=49h^7 | | 600-20x=15x | | n^2+2n+-48=0 | | 11z+30=180 | | 3p-7r+14p= | | (2x)+y=90 | | (x+3y)=120 | | y+(y-2x)=90 | | -28x^4y^2z+21x^5y^3z^4+22x^2y^3z^7= | | a^3-a^2-14a+24=0 | | 3(2x+2)=5(x-4)-11 | | 9x+7+115=180 | | 5(12-3x)=5(x+4) | | 3x-2=5x-14+76 | | 3+4x=-2y+1 | | 615=120+3b | | 7x-6(4x+3)=101 | | 8x+7y=207 | | x+6.5= | | Z^2+2x-15=0 | | 1t-1t+2t+1t-2=10 | | 5x-(3x+2)=8(x-1)+2 | | 2y=2x-4graph |

Equations solver categories