x(x+3)(2x+1)=0

Simple and best practice solution for x(x+3)(2x+1)=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(x+3)(2x+1)=0 equation:


Simplifying
x(x + 3)(2x + 1) = 0

Reorder the terms:
x(3 + x)(2x + 1) = 0

Reorder the terms:
x(3 + x)(1 + 2x) = 0

Multiply (3 + x) * (1 + 2x)
x(3(1 + 2x) + x(1 + 2x)) = 0
x((1 * 3 + 2x * 3) + x(1 + 2x)) = 0
x((3 + 6x) + x(1 + 2x)) = 0
x(3 + 6x + (1 * x + 2x * x)) = 0
x(3 + 6x + (1x + 2x2)) = 0

Combine like terms: 6x + 1x = 7x
x(3 + 7x + 2x2) = 0
(3 * x + 7x * x + 2x2 * x) = 0
(3x + 7x2 + 2x3) = 0

Solving
3x + 7x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 7x + 2x2) = 0

Factor a trinomial.
x((3 + x)(1 + 2x)) = 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 '(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

Subproblem 3

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, -3, -0.5}

See similar equations:

| (x-1)(x-1)-(x+4)(x+4)=-2x+1 | | 7/8-5/6 | | 5x+2(11+4x)=82+x | | -15.00+2.00t=15 | | -15.00t+2.00t=15 | | a=10b | | 7x-2=-7x+4 | | -15.00+2.00t=13 | | .5(2x-2)=10 | | x-(-2x-4)=-5 | | (3x-2)-(5x-4)= | | -12-10=-6+5+-6+-27 | | 1/4(n+5)=16 | | 1=y+3y(y-9) | | -12-10=-6+5+3(x-9) | | 7-4x=4x-57 | | -5x+8=x-4 | | .5(2x+2)=10 | | 4(16.25-0.75y)+3y=65 | | 1/2(2x+2)=10 | | x+3+x+3=(x+4)+(3x-2) | | 4(16.25-0.75y)+3C=65 | | .30x+3.29=6.59 | | 6x-10=3x+5+3(x-9) | | 2x^2=-64 | | 6c-8= | | 3/2x1/3y=4 | | 12=3x/4 | | 2r+36=6r+12 | | (x/4)-1=-(x/2)+8 | | -52-3u=18 | | 5x/2=35 |

Equations solver categories