(2x+2)(3x)=120

Simple and best practice solution for (2x+2)(3x)=120 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+2)(3x)=120 equation:


Simplifying
(2x + 2)(3x) = 120

Reorder the terms:
(2 + 2x)(3x) = 120

Remove parenthesis around (3x)
(2 + 2x) * 3x = 120

Reorder the terms for easier multiplication:
3x(2 + 2x) = 120
(2 * 3x + 2x * 3x) = 120
(6x + 6x2) = 120

Solving
6x + 6x2 = 120

Solving for variable 'x'.

Reorder the terms:
-120 + 6x + 6x2 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + 6x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-20 + x + x2) = 0

Factor a trinomial.
6((-5 + -1x)(4 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-5, 4}

See similar equations:

| 6m+1=4m+16 | | -(3u-y)+3(-2y+4u)= | | 3a-2=21 | | (-t^2-25)=0 | | 2n-1n-7=12 | | x^2-176x-121=0 | | -4(-7+4r)=28-8r | | 1.3/4= | | 6+3n=4+5n | | 45*5+20(x)=485 | | 14x-20=180 | | -77=4x+5(-x-17) | | 2x-5x+7x+x= | | x^2+5+8x=0 | | m+18-9m+1= | | x+4=46-6x | | -4x-6-5x=-6 | | 14-3t=-t+66 | | 10-2.7y=9+y | | 2000=n(420-725) | | -7-(-4x)=10x+2 | | 10x-3=180 | | 5x^2=56 | | 14-17x+5=8x-4-13 | | 7n^2-27n+18=0 | | 2.4n+9.6= | | -12-d=4a-7 | | 14x-19=7x+2 | | x+5z=-13 | | 5x+7y=53 | | b^2+11b+121=0 | | 4q-8=2q+10 |

Equations solver categories