(2x+6)(3x-4)=

Simple and best practice solution for (2x+6)(3x-4)= 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+6)(3x-4)= equation:


Simplifying
(2x + 6)(3x + -4) = 0

Reorder the terms:
(6 + 2x)(3x + -4) = 0

Reorder the terms:
(6 + 2x)(-4 + 3x) = 0

Multiply (6 + 2x) * (-4 + 3x)
(6(-4 + 3x) + 2x * (-4 + 3x)) = 0
((-4 * 6 + 3x * 6) + 2x * (-4 + 3x)) = 0
((-24 + 18x) + 2x * (-4 + 3x)) = 0
(-24 + 18x + (-4 * 2x + 3x * 2x)) = 0
(-24 + 18x + (-8x + 6x2)) = 0

Combine like terms: 18x + -8x = 10x
(-24 + 10x + 6x2) = 0

Solving
-24 + 10x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 5x + 3x2) = 0

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

Ignore the factor 2.

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 '(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

Solution

x = {-3, 1.333333333}

See similar equations:

| 10/20/5 | | 3(4+1)-9d=6(2-d) | | z+83=96 | | x+52=112 | | 7x+2(x-6)=4(x+2)-3 | | 7x-7=-1+8x | | 4(3x-4(x-2))=x-13 | | 4x-14=-12+6x | | 2cos^2(2x)=cos(2x)+1 | | 4x=-3x+34 | | 8(2-2k)=112 | | 5y(x+y)=20+3x | | 1/3(12-9y) | | f(x)=9-5/6x | | 9+15x-1=53 | | 4(x-2)-2=6x-2(4+x) | | 9x-13=3x+7 | | 6-3(6-3)= | | p=2a+b-c | | x-2/15=2/9 | | 14x-6x-5=19 | | 9y-8+5y=28 | | (19x+8)+(12x)+(8x+16)=180 | | -3r^2-5r=-7 | | 5x+19=81 | | 241-x=80 | | 9i+15=i+20 | | 4w-2=2w^2 | | 245=125-w | | 5y-5=3 | | 3x+7=180-42.7 | | 5m^3=8m-18m^2 |

Equations solver categories