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

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


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

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

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

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

Combine like terms: -3x + 2x = -1x
2x(-6 + -1x + x2) = 0
(-6 * 2x + -1x * 2x + x2 * 2x) = 0
(-12x + -2x2 + 2x3) = 0

Solving
-12x + -2x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + -1x + x2) = 0

Factor a trinomial.
2x((-2 + -1x)(3 + -1x)) = 0

Ignore the factor 2.

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 '(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, -2, 3}

See similar equations:

| 2(g+3)=20 | | 2x^2+11x+12=10X^2+22x | | 8(x-3)+3=3x+5(-5+x) | | 12+y=12 | | 6(n+2)+7(n+1)= | | 6(n+2)=7(n+1) | | 4x^2+7x^2=0 | | 5x+2-4x=10 | | 2(x+4)-10=-2(7) | | 7d+6d+5d-7= | | (17x+9)+(8x+13)=0 | | -2+22=m-10 | | (25x+11)+(13x-8)=0 | | (23x+16)+(7x+5)=0 | | (12x+15)+(4x-3)=0 | | (19x-7)+(6x-12)=0 | | 12x=17+11x | | x^2-35=7x | | 12x=17x+11x | | -2(x+7)-2=-16 | | -2(x+7)-2=-6 | | 25y^2-16=0 | | N^2+2n-3= | | 100b^2-144a^4=0 | | 20-6x=12+2x | | 3(x-2)=90 | | 81g^2-64=0 | | -(1-x)= | | 4w^2+16w+16=0 | | 6x+5(-3x-2)=-15-4x | | 5xy^2-3x+2y^2+7x+13xy^2=0 | | 3c-2cd-8c+7d=0 |

Equations solver categories