(6x+1)(3x+7)=0

Simple and best practice solution for (6x+1)(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 (6x+1)(3x+7)=0 equation: 


Simplifying
(6x + 1)(3x + 7) = 0

Reorder the terms:
(1 + 6x)(3x + 7) = 0

Reorder the terms:
(1 + 6x)(7 + 3x) = 0

Multiply (1 + 6x) * (7 + 3x)
(1(7 + 3x) + 6x * (7 + 3x)) = 0
((7 * 1 + 3x * 1) + 6x * (7 + 3x)) = 0
((7 + 3x) + 6x * (7 + 3x)) = 0
(7 + 3x + (7 * 6x + 3x * 6x)) = 0
(7 + 3x + (42x + 18x2)) = 0

Combine like terms: 3x + 42x = 45x
(7 + 45x + 18x2) = 0

Solving
7 + 45x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x)(1 + 6x) = 0


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 '(1 + 6x)' equal to zero and attempt to solve:

Simplifying
1 + 6x = 0

Solving
1 + 6x = 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 + 6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 0 + -1
6x = 0 + -1

Combine like terms: 0 + -1 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Solution
x = {-2.333333333, -0.1666666667}

See similar equations:

| 5n-3(n-6)=4+3n | | 3x+5(x-7)=2x+11 | | 0.6x+0.75=1.125 | | (X-3)2+5=11 | | 5-3(2+6)= | | 5x=7x+30 | | -1=3-z-z | | 1/5x-1/3x-4 | | 25x-30=24x-30 | | -3-9/2(-3) | | 2z+3x= | | 2(3.14)16=A | | 2+4=5(3-1) | | 7x(4x+9)=x^2*7 | | 7(1+2y)-2y=1 | | 8x+32=2x^2 | | 3t=-9+6t | | -1-(2/7)x=-3 | | 6(F+5)=-2F-8 | | -13-9x=-8x^2+3x+7 | | 94=4x | | 2(x+3)+3(x+4)=48 | | 11.2/1.6 | | 8c^4= | | 3u-4=8(u+2) | | 2/5x=1,170,000 | | 5x^2+17x-54=0 | | -3-x-3= | | x^2+y^2-16x-10y-80= | | x^2+y^2-16x-10y+80=0 | | 3(4c+5)=-9 | | 0.04c=24 |

Equations solver categories