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

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


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

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

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

Multiply (3 + X) * (-4 + 2X)
2(3(-4 + 2X) + X(-4 + 2X)) = 0
2((-4 * 3 + 2X * 3) + X(-4 + 2X)) = 0
2((-12 + 6X) + X(-4 + 2X)) = 0
2(-12 + 6X + (-4 * X + 2X * X)) = 0
2(-12 + 6X + (-4X + 2X2)) = 0

Combine like terms: 6X + -4X = 2X
2(-12 + 2X + 2X2) = 0
(-12 * 2 + 2X * 2 + 2X2 * 2) = 0
(-24 + 4X + 4X2) = 0

Solving
-24 + 4X + 4X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + X + X2) = 0

Factor a trinomial.
4((-3 + -1X)(2 + -1X)) = 0

Ignore the factor 4.

Subproblem 1
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

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
Solution
X = {-3, 2}

See similar equations:

| 64k-48=-6k-22 | | 5y(21)=y(19)+20 | | 5a^2=245 | | 8h-13=7h+4 | | 3x=14x | | 5x^3-36x^2+81x-18=0 | | X-2(4x+11)=2(x+7) | | 86-6x=14x | | 47-I=31 | | -5r-10=10 | | 4.2=0.7y | | 17x-8=15-12 | | 3r^2+5r=3r^2+4r-12 | | 9x+7=60 | | (9*x)+(16*x)=75 | | M+18=2 | | 98-.54t=90 | | 2x^2-x^2-3=0 | | a+7a+2=8 | | (5-3x)(3+4x)-(7+3x)(1-4x)+1=0 | | 8(23.26625+0.35y+-0.375z)+0.2y+3z-138.83+105.55-0.5-3y+0.5+27.15=180 | | 10x^5=15 | | 18x^2z^2-4xz^2-12z^2=0 | | .5m-30=30 | | 500=55-35n | | 5a+d-CB= | | 4x+5(7x-3)=9(x+5) | | y=-3x+-14 | | y=8x^3+3x | | 8x+0.2y+3z-138.83+105.55-0.5-3y+0.5+27.15=180 | | 1.3x+37.44=1.9x | | -23=9-4x |

Equations solver categories