6x(2+3x)=16

Simple and best practice solution for 6x(2+3x)=16 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 6x(2+3x)=16 equation: 


Simplifying
6x(2 + 3x) = 16
(2 * 6x + 3x * 6x) = 16
(12x + 18x2) = 16

Solving
12x + 18x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + 12x + 18x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 12x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 6x + 9x2) = 0

Factor a trinomial.
2((-4 + -3x)(2 + -3x)) = 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 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-1.333333333, 0.6666666667}

See similar equations:

| (3+x)(.5y)=140 | | 3x+6-3=3x-2 | | 94=s+2(2s-13) | | 23x+-10=28x-30 | | 9=-32u | | -2.6=x+9 | | 3Y+2X=186 | | 4x+1+91=180 | | -(8x-1)= | | 3x+8+52=90 | | 7a+3a-2+62=30 | | 12x+-39=23x+27 | | 12x-39=23x | | .5y(3+X)=140 | | C=3.14(90) | | I-x-3I=12 | | 8+3m=-17 | | y+4.2=12.6 | | (3/5)(x)=15 | | 16.4=y/2 | | (3.5)(x)=15 | | 7y=92.4 | | x(3+.5x)=140 | | x-6.7=13.29 | | y-3/4=9/10 | | 3.2=x/3 | | x+4+6x-5=90 | | x+4=6x-5 | | 3+x(.5x)=140 | | 7(12+6(2-2))= | | 12a+4b-3(a-b)= | | -32=-6x+x+3 |

Equations solver categories