(3x+6)(3x+7)=0

Simple and best practice solution for (3x+6)(3x+7)=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 (3x+6)(3x+7)=0 equation: 


Simplifying
(3x + 6)(3x + 7) = 0

Reorder the terms:
(6 + 3x)(3x + 7) = 0

Reorder the terms:
(6 + 3x)(7 + 3x) = 0

Multiply (6 + 3x) * (7 + 3x)
(6(7 + 3x) + 3x * (7 + 3x)) = 0
((7 * 6 + 3x * 6) + 3x * (7 + 3x)) = 0
((42 + 18x) + 3x * (7 + 3x)) = 0
(42 + 18x + (7 * 3x + 3x * 3x)) = 0
(42 + 18x + (21x + 9x2)) = 0

Combine like terms: 18x + 21x = 39x
(42 + 39x + 9x2) = 0

Solving
42 + 39x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(14 + 13x + 3x2) = 0

Factor a trinomial.
3((7 + 3x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {-2.333333333, -2}

See similar equations:

| 5g-6-5-5g= | | 0.75n=46.50 | | -x-4+9=6x-4 | | -x+222=75 | | 34=225-v | | 8x+17=7x+10 | | 0.375n=9 | | 7=8w-w | | (2x+6)+42=180 | | 21+3x-7(2-3x)=4(x-5)+3x+27 | | 0.6c=-5.66 | | J=B+Brt | | 5x=-2-8 | | -5-6x=4(5x+3) | | tw+tq=u | | 0.66=2.66b | | uw+uq=u | | 5x=2-8 | | .5x-11=.1(x+10) | | 3x+5-5*x+1=6x+7 | | C=D+Drt | | 6+w/5=21 | | -4x=x+15 | | 1.5=0.75a | | 0=-3x^2+-54x+-240 | | 4x+2x+5-x=10x+10 | | y=-3x^2+-54x+-240 | | 6(3x+2)=48 | | 15=2w+5 | | -7x=x+24 | | 4X+3=X+8+187 | | 2.5-.5x+3=5+2.5-5x |

Equations solver categories