-2(3x-4)(x+2)=0

Simple and best practice solution for -2(3x-4)(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 -2(3x-4)(x+2)=0 equation: 


Simplifying
-2(3x + -4)(x + 2) = 0

Reorder the terms:
-2(-4 + 3x)(x + 2) = 0

Reorder the terms:
-2(-4 + 3x)(2 + x) = 0

Multiply (-4 + 3x) * (2 + x)
-2(-4(2 + x) + 3x * (2 + x)) = 0
-2((2 * -4 + x * -4) + 3x * (2 + x)) = 0
-2((-8 + -4x) + 3x * (2 + x)) = 0
-2(-8 + -4x + (2 * 3x + x * 3x)) = 0
-2(-8 + -4x + (6x + 3x2)) = 0

Combine like terms: -4x + 6x = 2x
-2(-8 + 2x + 3x2) = 0
(-8 * -2 + 2x * -2 + 3x2 * -2) = 0
(16 + -4x + -6x2) = 0

Solving
16 + -4x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -2x + -3x2) = 0

Factor a trinomial.
2((4 + -3x)(2 + x)) = 0

Ignore the factor 2.

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

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {1.333333333, -2}

See similar equations:

| 5x+8y+4x= | | 7x+9-3x=9 | | 4rs-2rs+6r+3r= | | 6*-4=6*n+25 | | .6666666n-11=4+n | | 1-x/21=3(x+9)/63 | | 3(x+1)(x+2)=0 | | 1.5-0.5(2x-17)=9.7 | | 88-82=32y-35y | | 9+a-6=8 | | -14.1=-4.7x | | 0.18+7+3.4= | | 200=8t-5t^2 | | 358+2x=842+x | | 9x-2*3x-3=0 | | -5x-7y-2x+15y= | | -(5x+2)-(7x-6)=6(4x+1) | | 6(-5+7x)=-198 | | c-2+5=1 | | -3(7p+6)-2(1-17p)=3(1+4p) | | -5(t-2)-(t+2)=4 | | X(x+1)+(x+2)+(x+3)=(x+2)+1 | | 3b-5-8b-3= | | 2r+10=70 | | 6-n=38-n | | 1.2=s-4.9 | | 3(5w+9)=-17+19w | | W-9=-4 | | 36x^5y^8-18x^4y^6+45x^9y^7+9x^4y^5=0 | | -(6x-11)(2x+5)=0 | | -12=5w+8 | | 7-5x=3x-17 |

Equations solver categories