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


Subproblem 1
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

Subproblem 2
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
Solution
x = {0.1666666667, 2.333333333}

See similar equations:

| (54-3x)+(91-11x)=(136-23x) | | 509=e | | (13x)+(52x+4)=(68x-2) | | -1+4n=-3(7n+8)+2n | | M/3+4=6 | | U+5.26=8.33 | | x^2+8x+16=1.7777777778 | | (5x-6)(4x+5)=0 | | h-(-7)=4.3 | | 3.25e=21.7 | | 5x-7(x+3)=-2+12 | | 120=b | | 1/2x^2-12 | | 3x+18/6 | | 3y^2+4y-4=1 | | 45x=3.2 | | 5x^2-10x+11=0 | | 2(2b+7)=3(b+3)+3 | | 15=x+6+9 | | (6+9i)-(-3+i)= | | x+15=x+6+9 | | (m)/(5)+6=9 | | 9-5+2a-8a=5 | | 3x-7=15x | | (6t-4v)(-7t-4v)= | | 52/3=34x | | 5^2/3=34x | | x*2+5x-16=0 | | g-3+4g=2g-6 | | 2(x+4)/3=4x-4 | | 9y-6+y+8=48 | | 15x+x=35 |

Equations solver categories