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

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


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

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

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

Multiply (-4 + 2x) * (2 + 4x)
(-4(2 + 4x) + 2x * (2 + 4x)) = 0
((2 * -4 + 4x * -4) + 2x * (2 + 4x)) = 0
((-8 + -16x) + 2x * (2 + 4x)) = 0
(-8 + -16x + (2 * 2x + 4x * 2x)) = 0
(-8 + -16x + (4x + 8x2)) = 0

Combine like terms: -16x + 4x = -12x
(-8 + -12x + 8x2) = 0

Solving
-8 + -12x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -3x + 2x2) = 0

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

Ignore the factor 4.

Subproblem 1

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

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 = {-0.5, 2}

See similar equations:

| 5/3x+3=13 | | 5x-5+2x=-26 | | 5x+3x=1-x^2 | | (y^1/4*z^-3/2)^2 | | 7s-14s-5=37 | | -2(3+r)=6 | | 8y/3=25 | | (2x-8)=7 | | 18=4-(c+5) | | 3z+15=2z+11 | | x^2+30x-1600=0 | | 3t-2=6-t | | (8t/15)-(t/3)=1 | | log(5)(8-4x)=1 | | -3(6-3k)=3k+30 | | -7(v+2)+3v+5=7v+9 | | 9-3z=18 | | 36x^2+36y^2+12x+72y-143=0 | | 16y+7=11 | | 2x-3y=1/2 | | 79-3x=33x+15 | | X^2-9x^3+3x+5x^7-9= | | 12-2(2x-3)=2 | | (y-5)=3 | | y=x^2-x-72 | | 7x-1/2(8x+4)+6 | | 6z-2=z+13 | | 13x-214=3x-14 | | (2a+3)=11 | | -12=6x-10x-28 | | 3x-2=10x | | 7a+4+8a=11-16 |

Equations solver categories